45347040 has 120 divisors (see below), whose sum is σ = 160083000. Its totient is φ = 12089088.

The previous prime is 45347033. The next prime is 45347047. The reversal of 45347040 is 4074354.

45347040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45347033) and next prime (45347047).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45346995 and 45347013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45347047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11211 + ... + 14709.

It is an arithmetic number, because the mean of its divisors is an integer number (1334025).

Almost surely, 2^45347040 is an apocalyptic number.

45347040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80041500).

45347040 is an abundant number, since it is smaller than the sum of its proper divisors (114735960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45347040 is a wasteful number, since it uses less digits than its factorization.

45347040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 45347040 is about 6734.0210869881. The cubic root of 45347040 is about 356.6013486622.

The spelling of 45347040 in words is "forty-five million, three hundred forty-seven thousand, forty".