45792540 has 120 divisors (see below), whose sum is σ = 150020640. Its totient is φ = 11670912.

The previous prime is 45792533. The next prime is 45792553. The reversal of 45792540 is 4529754.

45792540 is a `hidden beast` number, since 45 + 79 + 2 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45792495 and 45792504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36646 + ... + 37874.

It is an arithmetic number, because the mean of its divisors is an integer number (1250172).

Almost surely, 2^45792540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45792540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75010320).

45792540 is an abundant number, since it is smaller than the sum of its proper divisors (104228100).

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

45792540 is a wasteful number, since it uses less digits than its factorization.

45792540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 45792540 is about 6767.0185458590. The cubic root of 45792540 is about 357.7653237638.

The spelling of 45792540 in words is "forty-five million, seven hundred ninety-two thousand, five hundred forty".