416064960 has 168 divisors, whose sum is σ = 1451427120. Its totient is φ = 109375488.

The previous prime is 416064959. The next prime is 416064967. The reversal of 416064960 is 69460614.

416064960 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 649 + 6 + 0 = 666.

It is a super-2 number, since 2×416064960² = 346220101879603200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416064967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209251 + ... + 211229.

Almost surely, 2^416064960 is an apocalyptic number.

416064960 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 416064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725713560).

416064960 is an abundant number, since it is smaller than the sum of its proper divisors (1035362160).

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

416064960 is a wasteful number, since it uses less digits than its factorization.

416064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 416064960 is about 20397.6704552260. The cubic root of 416064960 is about 746.5410857393.

The spelling of 416064960 in words is "four hundred sixteen million, sixty-four thousand, nine hundred sixty".