45458560 has 128 divisors (see below), whose sum is σ = 126806400. Its totient is φ = 15261696.

The previous prime is 45458467. The next prime is 45458587. The reversal of 45458560 is 6585454.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326971 + ... + 327109.

It is an arithmetic number, because the mean of its divisors is an integer number (990675).

Almost surely, 2^45458560 is an apocalyptic number.

45458560 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 45458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63403200).

45458560 is an abundant number, since it is smaller than the sum of its proper divisors (81347840).

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

45458560 is a wasteful number, since it uses less digits than its factorization.

45458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The square root of 45458560 is about 6742.2963447182. The cubic root of 45458560 is about 356.8934340759.

The spelling of 45458560 in words is "forty-five million, four hundred fifty-eight thousand, five hundred sixty".