45928960 has 160 divisors (see below), whose sum is σ = 137884032. Its totient is φ = 14254080.

The previous prime is 45928943. The next prime is 45928973. The reversal of 45928960 is 6982954.

It is a tau number, because it is divible by the number of its divisors (160).

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, 197004 + ... + 197236.

Almost surely, 2^45928960 is an apocalyptic number.

45928960 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 45928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68942016).

45928960 is an abundant number, since it is smaller than the sum of its proper divisors (91955072).

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

45928960 is a wasteful number, since it uses less digits than its factorization.

45928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 45928960 is about 6777.0908212890. The cubic root of 45928960 is about 358.1202429959.

The spelling of 45928960 in words is "forty-five million, nine hundred twenty-eight thousand, nine hundred sixty".