46702656 has 392 divisors, whose sum is σ = 186561984. Its totient is φ = 11197440.

The previous prime is 46702651. The next prime is 46702657. The reversal of 46702656 is 65620764.

It is a super-2 number, since 2×46702656² = 4362276154908672, which contains 22 as substring.

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 46702656.

It is not an unprimeable number, because it can be changed into a prime (46702651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3592506 + ... + 3592518.

Almost surely, 2^46702656 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 46702656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93280992).

46702656 is an abundant number, since it is smaller than the sum of its proper divisors (139859328).

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

46702656 is a wasteful number, since it uses less digits than its factorization.

46702656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 46702656 is about 6833.9341524484. The cubic root of 46702656 is about 360.1199600222.

The spelling of 46702656 in words is "forty-six million, seven hundred two thousand, six hundred fifty-six".