45352400 has 30 divisors (see below), whose sum is σ = 108960102. Its totient is φ = 18140800.

The previous prime is 45352387. The next prime is 45352421. The reversal of 45352400 is 425354.

It can be written as a sum of positive squares in 3 ways, for example, as 12082576 + 33269824 = 3476^2 + 5768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56291 + ... + 57090.

Almost surely, 2^45352400 is an apocalyptic number.

45352400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45352400 is an abundant number, since it is smaller than the sum of its proper divisors (63607702).

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

45352400 is a wasteful number, since it uses less digits than its factorization.

45352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113399 (or 113388 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 45352400 is about 6734.4190543803. The cubic root of 45352400 is about 356.6153981490.

Adding to 45352400 its reverse (425354), we get a palindrome (45777754).

The spelling of 45352400 in words is "forty-five million, three hundred fifty-two thousand, four hundred".