45957968 has 20 divisors (see below), whose sum is σ = 101764320. Its totient is φ = 19696224.

The previous prime is 45957889. The next prime is 45957971. The reversal of 45957968 is 86975954.

It is a super-2 number, since 2×45957968² = 4224269645378048, 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 3 ways as a sum of consecutive naturals, for example, 205058 + ... + 205281.

It is an arithmetic number, because the mean of its divisors is an integer number (5088216).

Almost surely, 2^45957968 is an apocalyptic number.

It is an amenable number.

45957968 is an abundant number, since it is smaller than the sum of its proper divisors (55806352).

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

45957968 is a wasteful number, since it uses less digits than its factorization.

45957968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410354 (or 410348 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 53.

The square root of 45957968 is about 6779.2306348140. The cubic root of 45957968 is about 358.1956214770.

The spelling of 45957968 in words is "forty-five million, nine hundred fifty-seven thousand, nine hundred sixty-eight".