478414560 has 192 divisors, whose sum is σ = 1661603328. Its totient is φ = 114960384.

The previous prime is 478414523. The next prime is 478414571. The reversal of 478414560 is 65414874.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267429 + ... + 269211.

It is an arithmetic number, because the mean of its divisors is an integer number (8654184).

Almost surely, 2^478414560 is an apocalyptic number.

478414560 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 478414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830801664).

478414560 is an abundant number, since it is smaller than the sum of its proper divisors (1183188768).

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

478414560 is a wasteful number, since it uses less digits than its factorization.

478414560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 478414560 is about 21872.6898208702. The cubic root of 478414560 is about 782.1105235124.

The spelling of 478414560 in words is "four hundred seventy-eight million, four hundred fourteen thousand, five hundred sixty".