45840400 has 30 divisors (see below), whose sum is σ = 110132522. Its totient is φ = 18336000.

The previous prime is 45840397. The next prime is 45840401. The reversal of 45840400 is 404854.

It can be written as a sum of positive squares in 3 ways, for example, as 3225616 + 42614784 = 1796^2 + 6528^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45840401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56901 + ... + 57700.

Almost surely, 2^45840400 is an apocalyptic number.

45840400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45840400 is an abundant number, since it is smaller than the sum of its proper divisors (64292122).

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

45840400 is a wasteful number, since it uses less digits than its factorization.

45840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114619 (or 114608 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 45840400 is about 6770.5538916694. The cubic root of 45840400 is about 357.8899196523.

The spelling of 45840400 in words is "forty-five million, eight hundred forty thousand, four hundred".