416479008 has 48 divisors (see below), whose sum is σ = 1192647456. Its totient is φ = 126205440.

The previous prime is 416479003. The next prime is 416479027. The reversal of 416479008 is 800974614.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (416479003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196141 + ... + 198252.

It is an arithmetic number, because the mean of its divisors is an integer number (24846822).

Almost surely, 2^416479008 is an apocalyptic number.

416479008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

416479008 is an abundant number, since it is smaller than the sum of its proper divisors (776168448).

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

416479008 is a wasteful number, since it uses less digits than its factorization.

416479008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394417 (or 394409 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 416479008 is about 20407.8173257210. The cubic root of 416479008 is about 746.7886443297.

The spelling of 416479008 in words is "four hundred sixteen million, four hundred seventy-nine thousand, eight".