45200040 has 64 divisors (see below), whose sum is σ = 138922560. Its totient is φ = 11758080.

The previous prime is 45200027. The next prime is 45200047. The reversal of 45200040 is 4000254.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 45199992 and 45200019.

It is not an unprimeable number, because it can be changed into a prime (45200047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327 + ... + 9513.

It is an arithmetic number, because the mean of its divisors is an integer number (2170665).

Almost surely, 2^45200040 is an apocalyptic number.

45200040 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 45200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69461280).

45200040 is an abundant number, since it is smaller than the sum of its proper divisors (93722520).

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

45200040 is a wasteful number, since it uses less digits than its factorization.

45200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9242 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 45200040 is about 6723.0975004086. The cubic root of 45200040 is about 356.2156039429.

Adding to 45200040 its reverse (4000254), we get a palindrome (49200294).

The spelling of 45200040 in words is "forty-five million, two hundred thousand, forty".