416424960 has 264 divisors, whose sum is σ = 1650307776. Its totient is φ = 95109120.

The previous prime is 416424947. The next prime is 416424989. The reversal of 416424960 is 69424614.

416424960 is a `hidden beast` number, since 4 + 1 + 642 + 4 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×416424960² = 346819494622003200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 321915 + ... + 323205.

Almost surely, 2^416424960 is an apocalyptic number.

416424960 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 416424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825153888).

416424960 is an abundant number, since it is smaller than the sum of its proper divisors (1233882816).

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

416424960 is a wasteful number, since it uses less digits than its factorization.

416424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 416424960 is about 20406.4930843102. The cubic root of 416424960 is about 746.7563384367.

The spelling of 416424960 in words is "four hundred sixteen million, four hundred twenty-four thousand, nine hundred sixty".