416052960 has 48 divisors (see below), whose sum is σ = 1310568336. Its totient is φ = 110947328.

The previous prime is 416052943. The next prime is 416052979. The reversal of 416052960 is 69250614.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432909 + ... + 433868.

It is an arithmetic number, because the mean of its divisors is an integer number (27303507).

Almost surely, 2^416052960 is an apocalyptic number.

416052960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416052960 is an abundant number, since it is smaller than the sum of its proper divisors (894515376).

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

416052960 is a wasteful number, since it uses less digits than its factorization.

416052960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866795 (or 866787 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 416052960 is about 20397.3763018678. The cubic root of 416052960 is about 746.5339085114.

The spelling of 416052960 in words is "four hundred sixteen million, fifty-two thousand, nine hundred sixty".