45801792 has 84 divisors (see below), whose sum is σ = 132502656. Its totient is φ = 15125760.

The previous prime is 45801781. The next prime is 45801827. The reversal of 45801792 is 29710854.

45801792 is a `hidden beast` number, since 4 + 580 + 1 + 79 + 2 = 666.

It is a super-2 number, since 2×45801792² = 4195608300822528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75153 + ... + 75759.

Almost surely, 2^45801792 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 45801792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66251328).

45801792 is an abundant number, since it is smaller than the sum of its proper divisors (86700864).

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

45801792 is a wasteful number, since it uses less digits than its factorization.

45801792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 45801792 is about 6767.7021211043. The cubic root of 45801792 is about 357.7894166392.

The spelling of 45801792 in words is "forty-five million, eight hundred one thousand, seven hundred ninety-two".