45956592 has 160 divisors (see below), whose sum is σ = 151776000. Its totient is φ = 13167360.

The previous prime is 45956579. The next prime is 45956609. The reversal of 45956592 is 29565954.

It is a happy number.

45956592 is a `hidden beast` number, since 4 + 5 + 9 + 56 + 592 = 666.

It is a super-2 number, since 2×45956592² = 4224016696508928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90034 + ... + 90542.

It is an arithmetic number, because the mean of its divisors is an integer number (948600).

Almost surely, 2^45956592 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 45956592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888000).

45956592 is an abundant number, since it is smaller than the sum of its proper divisors (105819408).

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

45956592 is a wasteful number, since it uses less digits than its factorization.

45956592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 45956592 is about 6779.1291476118. The cubic root of 45956592 is about 358.1920466011.

The spelling of 45956592 in words is "forty-five million, nine hundred fifty-six thousand, five hundred ninety-two".