45957320 has 16 divisors (see below), whose sum is σ = 103404060. Its totient is φ = 18382912.

The previous prime is 45957313. The next prime is 45957337. The reversal of 45957320 is 2375954.

It can be written as a sum of positive squares in 2 ways, for example, as 44863204 + 1094116 = 6698^2 + 1046^2 .

It is a super-2 number, since 2×45957320² = 4224150523164800, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 574427 + ... + 574506.

Almost surely, 2^45957320 is an apocalyptic number.

45957320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45957320 is an abundant number, since it is smaller than the sum of its proper divisors (57446740).

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

45957320 is a wasteful number, since it uses less digits than its factorization.

45957320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148944 (or 1148940 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 45957320 is about 6779.1828416115. The cubic root of 45957320 is about 358.1939379688.

The spelling of 45957320 in words is "forty-five million, nine hundred fifty-seven thousand, three hundred twenty".