45766464 has 56 divisors (see below), whose sum is σ = 121615200. Its totient is φ = 15189504.

The previous prime is 45766453. The next prime is 45766493. The reversal of 45766464 is 46466754.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66667 + ... + 67349.

It is an arithmetic number, because the mean of its divisors is an integer number (2171700).

Almost surely, 2^45766464 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 45766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60807600).

45766464 is an abundant number, since it is smaller than the sum of its proper divisors (75848736).

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

45766464 is a wasteful number, since it uses less digits than its factorization.

45766464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1037 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 45766464 is about 6765.0915736596. The cubic root of 45766464 is about 357.6974025120.

The spelling of 45766464 in words is "forty-five million, seven hundred sixty-six thousand, four hundred sixty-four".