45958980 has 24 divisors (see below), whose sum is σ = 128685312. Its totient is φ = 12255712.

The previous prime is 45958951. The next prime is 45958981. The reversal of 45958980 is 8985954.

It is a happy number.

45958980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45958980² = 4224455685280800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45958981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382932 + ... + 383051.

It is an arithmetic number, because the mean of its divisors is an integer number (5361888).

Almost surely, 2^45958980 is an apocalyptic number.

It is an amenable number.

45958980 is an abundant number, since it is smaller than the sum of its proper divisors (82726332).

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

45958980 is a wasteful number, since it uses less digits than its factorization.

45958980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765995 (or 765993 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 45958980 is about 6779.3052741413. The cubic root of 45958980 is about 358.1982506280.

The spelling of 45958980 in words is "forty-five million, nine hundred fifty-eight thousand, nine hundred eighty".