45406656 has 140 divisors (see below), whose sum is σ = 141991080. Its totient is φ = 14307840.

The previous prime is 45406651. The next prime is 45406681. The reversal of 45406656 is 65660454.

It is a happy number.

45406656 is a `hidden beast` number, since 4 + 540 + 66 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45406656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45406651) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98266 + ... + 98726.

It is an arithmetic number, because the mean of its divisors is an integer number (1014222).

Almost surely, 2^45406656 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 45406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70995540).

45406656 is an abundant number, since it is smaller than the sum of its proper divisors (96584424).

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

45406656 is a wasteful number, since it uses less digits than its factorization.

45406656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 45406656 is about 6738.4461116789. The cubic root of 45406656 is about 356.7575502328.

The spelling of 45406656 in words is "forty-five million, four hundred six thousand, six hundred fifty-six".