45629892 has 240 divisors, whose sum is σ = 156119040. Its totient is φ = 11275200.

The previous prime is 45629879. The next prime is 45629929. The reversal of 45629892 is 29892654.

45629892 is a `hidden beast` number, since 4 + 562 + 9 + 89 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 773359 + ... + 773417.

It is an arithmetic number, because the mean of its divisors is an integer number (650496).

Almost surely, 2^45629892 is an apocalyptic number.

45629892 is a gapful number since it is divisible by the number (42) 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 45629892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78059520).

45629892 is an abundant number, since it is smaller than the sum of its proper divisors (110489148).

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

45629892 is a wasteful number, since it uses less digits than its factorization.

45629892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 45629892 is about 6754.9901554332. The cubic root of 45629892 is about 357.3412456325.

The spelling of 45629892 in words is "forty-five million, six hundred twenty-nine thousand, eight hundred ninety-two".