46506816 has 84 divisors (see below), whose sum is σ = 134246112. Its totient is φ = 15393024.

The previous prime is 46506793. The next prime is 46506839. The reversal of 46506816 is 61860564.

It is an interprime number because it is at equal distance from previous prime (46506793) and next prime (46506839).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151335 + ... + 151641.

It is an arithmetic number, because the mean of its divisors is an integer number (1598168).

Almost surely, 2^46506816 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 46506816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67123056).

46506816 is an abundant number, since it is smaller than the sum of its proper divisors (87739296).

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

46506816 is a wasteful number, since it uses less digits than its factorization.

46506816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 46506816 is about 6819.5906035480. The cubic root of 46506816 is about 359.6158866001.

The spelling of 46506816 in words is "forty-six million, five hundred six thousand, eight hundred sixteen".