45748560 has 320 divisors, whose sum is σ = 175988736. Its totient is φ = 9676800.

The previous prime is 45748553. The next prime is 45748601. The reversal of 45748560 is 6584754.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1063899 + ... + 1063941.

Almost surely, 2^45748560 is an apocalyptic number.

45748560 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 45748560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87994368).

45748560 is an abundant number, since it is smaller than the sum of its proper divisors (130240176).

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

45748560 is a wasteful number, since it uses less digits than its factorization.

45748560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 45748560 is about 6763.7681805337. The cubic root of 45748560 is about 357.6507522720.

The spelling of 45748560 in words is "forty-five million, seven hundred forty-eight thousand, five hundred sixty".