45916704 has 144 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 14307840.

The previous prime is 45916699. The next prime is 45916729. The reversal of 45916704 is 40761954.

45916704 is a `hidden beast` number, since 4 + 591 + 67 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330267 + ... + 330405.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 2^45916704 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 45916704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

45916704 is an abundant number, since it is smaller than the sum of its proper divisors (93509856).

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

45916704 is a wasteful number, since it uses less digits than its factorization.

45916704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 45916704 is about 6776.1865381644. The cubic root of 45916704 is about 358.0883857380.

The spelling of 45916704 in words is "forty-five million, nine hundred sixteen thousand, seven hundred four".