46988964 has 96 divisors (see below), whose sum is σ = 136617600. Its totient is φ = 13841280.

The previous prime is 46988959. The next prime is 46988983.

46988964 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46988964.

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, 43422 + ... + 44490.

It is an arithmetic number, because the mean of its divisors is an integer number (1423100).

Almost surely, 2^46988964 is an apocalyptic number.

46988964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46988964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68308800).

46988964 is an abundant number, since it is smaller than the sum of its proper divisors (89628636).

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

46988964 is a wasteful number, since it uses less digits than its factorization.

46988964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1122 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 46988964 is about 6854.8496701241. The cubic root of 46988964 is about 360.8543597002.

The spelling of 46988964 in words is "forty-six million, nine hundred eighty-eight thousand, nine hundred sixty-four".