46879560 has 384 divisors, whose sum is σ = 198132480. Its totient is φ = 9704448.

The previous prime is 46879549. The next prime is 46879577. The reversal of 46879560 is 6597864.

46879560 is a `hidden beast` number, since 4 + 6 + 87 + 9 + 560 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 884494 + ... + 884546.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^46879560 is an apocalyptic number.

46879560 is a gapful number since it is divisible by the number (40) 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 46879560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

46879560 is an abundant number, since it is smaller than the sum of its proper divisors (151252920).

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

46879560 is a wasteful number, since it uses less digits than its factorization.

46879560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 46879560 is about 6846.8649760310. The cubic root of 46879560 is about 360.5740840343.

The spelling of 46879560 in words is "forty-six million, eight hundred seventy-nine thousand, five hundred sixty".