46716480 has 112 divisors (see below), whose sum is σ = 164835840. Its totient is φ = 12455424.

The previous prime is 46716469. The next prime is 46716503. The reversal of 46716480 is 8461764.

46716480 is a `hidden beast` number, since 4 + 6 + 7 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5937 + ... + 11343.

Almost surely, 2^46716480 is an apocalyptic number.

46716480 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 46716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82417920).

46716480 is an abundant number, since it is smaller than the sum of its proper divisors (118119360).

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

46716480 is a wasteful number, since it uses less digits than its factorization.

46716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 46716480 is about 6834.9455008800. The cubic root of 46716480 is about 360.1554883886.

The spelling of 46716480 in words is "forty-six million, seven hundred sixteen thousand, four hundred eighty".