45464832 has 108 divisors (see below), whose sum is σ = 149866080. Its totient is φ = 12985344.

The previous prime is 45464821. The next prime is 45464843. The reversal of 45464832 is 23846454.

45464832 is a `hidden beast` number, since 4 + 5 + 4 + 648 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (45464821) and next prime (45464843).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14719 + ... + 17537.

Almost surely, 2^45464832 is an apocalyptic number.

45464832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45464832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74933040).

45464832 is an abundant number, since it is smaller than the sum of its proper divisors (104401248).

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

45464832 is a wasteful number, since it uses less digits than its factorization.

45464832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2831 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 45464832 is about 6742.7614521055. The cubic root of 45464832 is about 356.9098470660.

The spelling of 45464832 in words is "forty-five million, four hundred sixty-four thousand, eight hundred thirty-two".