478717464 has 64 divisors (see below), whose sum is σ = 1264435200. Its totient is φ = 150615936.

The previous prime is 478717457. The next prime is 478717487. The reversal of 478717464 is 464717874.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131817 + ... + 135399.

It is an arithmetic number, because the mean of its divisors is an integer number (19756800).

Almost surely, 2^478717464 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 478717464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632217600).

478717464 is an abundant number, since it is smaller than the sum of its proper divisors (785717736).

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

478717464 is a wasteful number, since it uses less digits than its factorization.

478717464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3900 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 48.

The square root of 478717464 is about 21879.6129764674. The cubic root of 478717464 is about 782.2755508377.

The spelling of 478717464 in words is "four hundred seventy-eight million, seven hundred seventeen thousand, four hundred sixty-four".