45337600 has 264 divisors, whose sum is σ = 146204928. Its totient is φ = 13516800.

The previous prime is 45337597. The next prime is 45337601. The reversal of 45337600 is 673354.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (45337601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1971189 + ... + 1971211.

Almost surely, 2^45337600 is an apocalyptic number.

45337600 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 45337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73102464).

45337600 is an abundant number, since it is smaller than the sum of its proper divisors (100867328).

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

45337600 is a wasteful number, since it uses less digits than its factorization.

45337600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 45337600 is about 6733.3201320003. The cubic root of 45337600 is about 356.5766020977.

The spelling of 45337600 in words is "forty-five million, three hundred thirty-seven thousand, six hundred".