478440576 has 96 divisors (see below), whose sum is σ = 1384344000. Its totient is φ = 158602752.

The previous prime is 478440563. The next prime is 478440581. The reversal of 478440576 is 675044874.

478440576 is a `hidden beast` number, since 4 + 78 + 4 + 4 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228205 + ... + 230291.

It is an arithmetic number, because the mean of its divisors is an integer number (14420250).

Almost surely, 2^478440576 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 478440576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692172000).

478440576 is an abundant number, since it is smaller than the sum of its proper divisors (905903424).

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

478440576 is a wasteful number, since it uses less digits than its factorization.

478440576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 478440576 is about 21873.2845270206. The cubic root of 478440576 is about 782.1247002121.

The spelling of 478440576 in words is "four hundred seventy-eight million, four hundred forty thousand, five hundred seventy-six".