45932400 has 120 divisors (see below), whose sum is σ = 163523760. Its totient is φ = 12245760.

The previous prime is 45932387. The next prime is 45932441. The reversal of 45932400 is 423954.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8674 + ... + 12926.

It is an arithmetic number, because the mean of its divisors is an integer number (1362698).

Almost surely, 2^45932400 is an apocalyptic number.

45932400 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 45932400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81761880).

45932400 is an abundant number, since it is smaller than the sum of its proper divisors (117591360).

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

45932400 is a wasteful number, since it uses less digits than its factorization.

45932400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45932400 is about 6777.3446127521. The cubic root of 45932400 is about 358.1291836358.

The spelling of 45932400 in words is "forty-five million, nine hundred thirty-two thousand, four hundred".