46516464 has 160 divisors (see below), whose sum is σ = 142848000. Its totient is φ = 14466816.

The previous prime is 46516439. The next prime is 46516487. The reversal of 46516464 is 46461564.

46516464 is a `hidden beast` number, since 4 + 6 + 5 + 1 + 646 + 4 = 666.

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

Its product of digits (69120) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588777 + ... + 588855.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 2^46516464 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 46516464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

46516464 is an abundant number, since it is smaller than the sum of its proper divisors (96331536).

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

46516464 is a wasteful number, since it uses less digits than its factorization.

46516464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 46516464 is about 6820.2979407061. The cubic root of 46516464 is about 359.6407527343.

The spelling of 46516464 in words is "forty-six million, five hundred sixteen thousand, four hundred sixty-four".