45802656 has 72 divisors (see below), whose sum is σ = 130908960. Its totient is φ = 15190656.

The previous prime is 45802651. The next prime is 45802657. The reversal of 45802656 is 65620854.

45802656 is a `hidden beast` number, since 4 + 580 + 26 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 45802656.

It is not an unprimeable number, because it can be changed into a prime (45802651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103171 + ... + 103613.

It is an arithmetic number, because the mean of its divisors is an integer number (1818180).

Almost surely, 2^45802656 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 45802656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65454480).

45802656 is an abundant number, since it is smaller than the sum of its proper divisors (85106304).

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

45802656 is a wasteful number, since it uses less digits than its factorization.

45802656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 45802656 is about 6767.7659534000. The cubic root of 45802656 is about 357.7916663919.

The spelling of 45802656 in words is "forty-five million, eight hundred two thousand, six hundred fifty-six".