45711792 has 120 divisors (see below), whose sum is σ = 147981600. Its totient is φ = 12902400.

The previous prime is 45711781. The next prime is 45711803. The reversal of 45711792 is 29711754.

It is a happy number.

45711792 is a `hidden beast` number, since 457 + 117 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (45711781) and next prime (45711803).

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 23 ways as a sum of consecutive naturals, for example, 101584 + ... + 102032.

It is an arithmetic number, because the mean of its divisors is an integer number (1233180).

Almost surely, 2^45711792 is an apocalyptic number.

45711792 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 45711792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73990800).

45711792 is an abundant number, since it is smaller than the sum of its proper divisors (102269808).

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

45711792 is a wasteful number, since it uses less digits than its factorization.

45711792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 45711792 is about 6761.0496226548. The cubic root of 45711792 is about 357.5549122620.

The spelling of 45711792 in words is "forty-five million, seven hundred eleven thousand, seven hundred ninety-two".