46504656 has 180 divisors, whose sum is σ = 152435556. Its totient is φ = 13178880.

The previous prime is 46504589. The next prime is 46504663. The reversal of 46504656 is 65640564.

46504656 = T₄₉₅ + T₄₉₆ + ... + T₇₃₆.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25160256 + 21344400 = 5016^2 + 4620^2 .

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 46504656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296130 + ... + 296286.

Almost surely, 2^46504656 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 46504656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76217778).

46504656 is an abundant number, since it is smaller than the sum of its proper divisors (105930900).

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

46504656 is a wasteful number, since it uses less digits than its factorization.

46504656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

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

The square root of 46504656 is about 6819.4322344313. The cubic root of 46504656 is about 359.6103190840.

The spelling of 46504656 in words is "forty-six million, five hundred four thousand, six hundred fifty-six".