45732960 has 288 divisors, whose sum is σ = 192628800. Its totient is φ = 9621504.

The previous prime is 45732949. The next prime is 45732961. The reversal of 45732960 is 6923754.

45732960 is a `hidden beast` number, since 4 + 573 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45732961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130866 + ... + 131214.

It is an arithmetic number, because the mean of its divisors is an integer number (668850).

Almost surely, 2^45732960 is an apocalyptic number.

45732960 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 45732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96314400).

45732960 is an abundant number, since it is smaller than the sum of its proper divisors (146895840).

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

45732960 is a wasteful number, since it uses less digits than its factorization.

45732960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 45732960 is about 6762.6148788764. The cubic root of 45732960 is about 357.6100953563.

The spelling of 45732960 in words is "forty-five million, seven hundred thirty-two thousand, nine hundred sixty".