478594368 has 252 divisors, whose sum is σ = 1650260352. Its totient is φ = 132088320.

The previous prime is 478594357. The next prime is 478594379. The reversal of 478594368 is 863495874.

478594368 is a `hidden beast` number, since 47 + 8 + 594 + 3 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (478594357) and next prime (478594379).

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 874671 + ... + 875217.

Almost surely, 2^478594368 is an apocalyptic number.

478594368 is a gapful number since it is divisible by the number (48) 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 478594368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825130176).

478594368 is an abundant number, since it is smaller than the sum of its proper divisors (1171665984).

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

478594368 is a wasteful number, since it uses less digits than its factorization.

478594368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 590 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 478594368 is about 21876.7997659621. The cubic root of 478594368 is about 782.2084944121.

The spelling of 478594368 in words is "four hundred seventy-eight million, five hundred ninety-four thousand, three hundred sixty-eight".