45005400 has 144 divisors (see below), whose sum is σ = 164955960. Its totient is φ = 10905600.

The previous prime is 45005393. The next prime is 45005437. The reversal of 45005400 is 450054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18664 + ... + 20936.

Almost surely, 2^45005400 is an apocalyptic number.

45005400 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 45005400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82477980).

45005400 is an abundant number, since it is smaller than the sum of its proper divisors (119950560).

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

45005400 is a wasteful number, since it uses less digits than its factorization.

45005400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45005400 is about 6708.6064126613. The cubic root of 45005400 is about 355.7035574532.

Adding to 45005400 its reverse (450054), we get a palindrome (45455454).

Multiplying 45005400 by its reverse (450054), we get a square (20254860291600 = 4500540²).

45005400 divided by its reverse (450054) gives a square (100 = 10²).

It can be divided in two parts, 4500 and 5400, that multiplied together give a 5-th power (24300000 = 30⁵).

The spelling of 45005400 in words is "forty-five million, five thousand, four hundred".