46896960 has 112 divisors (see below), whose sum is σ = 162470592. Its totient is φ = 11366400.

The previous prime is 46896953. The next prime is 46896979. The reversal of 46896960 is 6969864.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8340 + ... + 12780.

Almost surely, 2^46896960 is an apocalyptic number.

46896960 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 46896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81235296).

46896960 is an abundant number, since it is smaller than the sum of its proper divisors (115573632).

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

46896960 is a wasteful number, since it uses less digits than its factorization.

46896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 46896960 is about 6848.1355126779. The cubic root of 46896960 is about 360.6186892097.

The spelling of 46896960 in words is "forty-six million, eight hundred ninety-six thousand, nine hundred sixty".