45882720 has 384 divisors, whose sum is σ = 186278400. Its totient is φ = 10450944.

The previous prime is 45882703. The next prime is 45882737. The reversal of 45882720 is 2728854.

It is a happy number.

45882720 is a `hidden beast` number, since 4 + 588 + 2 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45882703) and next prime (45882737).

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 63 ways as a sum of consecutive naturals, for example, 1067019 + ... + 1067061.

It is an arithmetic number, because the mean of its divisors is an integer number (485100).

Almost surely, 2^45882720 is an apocalyptic number.

45882720 is a gapful number since it is divisible by the number (40) 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 45882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93139200).

45882720 is an abundant number, since it is smaller than the sum of its proper divisors (140395680).

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

45882720 is a wasteful number, since it uses less digits than its factorization.

45882720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 45882720 is about 6773.6784688971. The cubic root of 45882720 is about 358.0000208067. Note that the first 4 decimals are identical.

The spelling of 45882720 in words is "forty-five million, eight hundred eighty-two thousand, seven hundred twenty".