45958864 has 90 divisors (see below), whose sum is σ = 108787122. Its totient is φ = 18748800.

The previous prime is 45958859. The next prime is 45958867. The reversal of 45958864 is 46885954.

45958864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 27123264 + 18835600 = 5208^2 + 4340^2 .

It is a super-2 number, since 2×45958864² = 4224434360340992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45958867) 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 17 ways as a sum of consecutive naturals, for example, 753394 + ... + 753454.

Almost surely, 2^45958864 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 45958864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54393561).

45958864 is an abundant number, since it is smaller than the sum of its proper divisors (62828258).

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

45958864 is a wasteful number, since it uses less digits than its factorization.

45958864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 49.

The square root of 45958864 is about 6779.2967186870. The cubic root of 45958864 is about 358.1979492648.

The spelling of 45958864 in words is "forty-five million, nine hundred fifty-eight thousand, eight hundred sixty-four".