45792000 has 288 divisors, whose sum is σ = 172186560. Its totient is φ = 11980800.

The previous prime is 45791989. The next prime is 45792001. The reversal of 45792000 is 29754.

45792000 is a `hidden beast` number, since 457 + 9 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (45792001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863974 + ... + 864026.

It is an arithmetic number, because the mean of its divisors is an integer number (597870).

Almost surely, 2^45792000 is an apocalyptic number.

45792000 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 45792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86093280).

45792000 is an abundant number, since it is smaller than the sum of its proper divisors (126394560).

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

45792000 is an equidigital number, since it uses as much as digits as its factorization.

45792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 45792000 is about 6766.9786463384. The cubic root of 45792000 is about 357.7639174646.

The spelling of 45792000 in words is "forty-five million, seven hundred ninety-two thousand".