45734976 has 224 divisors, whose sum is σ = 162560000. Its totient is φ = 12317184.

The previous prime is 45734963. The next prime is 45734977. The reversal of 45734976 is 67943754.

45734976 is a `hidden beast` number, since 4 + 573 + 4 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (45734977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229725 + ... + 229923.

Almost surely, 2^45734976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81280000).

45734976 is an abundant number, since it is smaller than the sum of its proper divisors (116825024).

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

45734976 is a wasteful number, since it uses less digits than its factorization.

45734976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 45734976 is about 6762.7639320029. The cubic root of 45734976 is about 357.6153500010.

The spelling of 45734976 in words is "forty-five million, seven hundred thirty-four thousand, nine hundred seventy-six".