416044500480 has 480 divisors, whose sum is σ = 1663088251968. Its totient is φ = 94150656000.

The previous prime is 416044500479. The next prime is 416044500511. The reversal of 416044500480 is 84005440614.

It is a happy number.

416044500480 is a `hidden beast` number, since 4 + 1 + 604 + 4 + 5 + 0 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16276510 + ... + 16302050.

Almost surely, 2^416044500480 is an apocalyptic number.

416044500480 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 416044500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831544125984).

416044500480 is an abundant number, since it is smaller than the sum of its proper divisors (1247043751488).

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

416044500480 is a wasteful number, since it uses less digits than its factorization.

416044500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25678 (or 25659 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 416044500480 in words is "four hundred sixteen billion, forty-four million, five hundred thousand, four hundred eighty".