46976160 has 384 divisors, whose sum is σ = 195084288. Its totient is φ = 9216000.

The previous prime is 46976159. The next prime is 46976173. The reversal of 46976160 is 6167964.

46976160 = 253² + 254² + ... + 539².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145740 + ... + 1145780.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 2^46976160 is an apocalyptic number.

46976160 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 46976160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97542144).

46976160 is an abundant number, since it is smaller than the sum of its proper divisors (148108128).

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

46976160 is a wasteful number, since it uses less digits than its factorization.

46976160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 46976160 is about 6853.9156691631. The cubic root of 46976160 is about 360.8215803796.

The spelling of 46976160 in words is "forty-six million, nine hundred seventy-six thousand, one hundred sixty".