416504660 has 96 divisors (see below), whose sum is σ = 1036046592. Its totient is φ = 138654720.

The previous prime is 416504651. The next prime is 416504701. The reversal of 416504660 is 66405614.

It is a super-2 number, since 2×416504660² = 346952263603431200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391289 + ... + 392351.

It is an arithmetic number, because the mean of its divisors is an integer number (10792152).

Almost surely, 2^416504660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416504660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518023296).

416504660 is an abundant number, since it is smaller than the sum of its proper divisors (619541932).

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

416504660 is a wasteful number, since it uses less digits than its factorization.

416504660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 416504660 is about 20408.4458006973. The cubic root of 416504660 is about 746.8039762181.

The spelling of 416504660 in words is "four hundred sixteen million, five hundred four thousand, six hundred sixty".