46479648 has 48 divisors (see below), whose sum is σ = 122514336. Its totient is φ = 15429120.

The previous prime is 46479599. The next prime is 46479679. The reversal of 46479648 is 84697464.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 46479597 and 46479606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26115 + ... + 27837.

It is an arithmetic number, because the mean of its divisors is an integer number (2552382).

Almost surely, 2^46479648 is an apocalyptic number.

46479648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46479648 is an abundant number, since it is smaller than the sum of its proper divisors (76034688).

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

46479648 is a wasteful number, since it uses less digits than its factorization.

46479648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2009 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 46479648 is about 6817.5984041303. The cubic root of 46479648 is about 359.5458470638.

The spelling of 46479648 in words is "forty-six million, four hundred seventy-nine thousand, six hundred forty-eight".