416520720 has 360 divisors, whose sum is σ = 1759762368. Its totient is φ = 86423040.

The previous prime is 416520697. The next prime is 416520737. The reversal of 416520720 is 27025614.

416520720 is a `hidden beast` number, since 4 + 1 + 652 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 609499 + ... + 610181.

Almost surely, 2^416520720 is an apocalyptic number.

416520720 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 416520720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879881184).

416520720 is an abundant number, since it is smaller than the sum of its proper divisors (1343241648).

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

416520720 is a wasteful number, since it uses less digits than its factorization.

416520720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 416520720 is about 20408.8392614573. The cubic root of 416520720 is about 746.8135747643.

The spelling of 416520720 in words is "four hundred sixteen million, five hundred twenty thousand, seven hundred twenty".