45297600 has 84 divisors (see below), whose sum is σ = 148629624. Its totient is φ = 12078080.

The previous prime is 45297587. The next prime is 45297631. The reversal of 45297600 is 679254.

45297600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 82 + ... + 9518.

Almost surely, 2^45297600 is an apocalyptic number.

45297600 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 45297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74314812).

45297600 is an abundant number, since it is smaller than the sum of its proper divisors (103332024).

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

45297600 is a wasteful number, since it uses less digits than its factorization.

45297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9462 (or 9447 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 45297600 is about 6730.3491737056. The cubic root of 45297600 is about 356.4717056411.

The spelling of 45297600 in words is "forty-five million, two hundred ninety-seven thousand, six hundred".