45753600 has 108 divisors (see below), whose sum is σ = 151059776. Its totient is φ = 12195840.

The previous prime is 45753593. The next prime is 45753623. The reversal of 45753600 is 635754.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18009 + ... + 20391.

Almost surely, 2^45753600 is an apocalyptic number.

45753600 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 45753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75529888).

45753600 is an abundant number, since it is smaller than the sum of its proper divisors (105306176).

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

45753600 is a wasteful number, since it uses less digits than its factorization.

45753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 45753600 is about 6764.1407436570. The cubic root of 45753600 is about 357.6638856077.

The spelling of 45753600 in words is "forty-five million, seven hundred fifty-three thousand, six hundred".