45458688 has 72 divisors (see below), whose sum is σ = 132009696. Its totient is φ = 13772800.

The previous prime is 45458671. The next prime is 45458711. The reversal of 45458688 is 88685454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5758 + ... + 11138.

It is an arithmetic number, because the mean of its divisors is an integer number (1833468).

Almost surely, 2^45458688 is an apocalyptic number.

45458688 is a gapful number since it is divisible by the number (48) 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 45458688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66004848).

45458688 is an abundant number, since it is smaller than the sum of its proper divisors (86551008).

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

45458688 is a wasteful number, since it uses less digits than its factorization.

45458688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411 (or 5397 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The square root of 45458688 is about 6742.3058370264. The cubic root of 45458688 is about 356.8937690500.

The spelling of 45458688 in words is "forty-five million, four hundred fifty-eight thousand, six hundred eighty-eight".