478690560 has 360 divisors, whose sum is σ = 1810411680. Its totient is φ = 120932352.

The previous prime is 478690547. The next prime is 478690603. The reversal of 478690560 is 65096874.

478690560 is a `hidden beast` number, since 4 + 7 + 86 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×478690560² = 458289304466227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25194231 + ... + 25194249.

Almost surely, 2^478690560 is an apocalyptic number.

478690560 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 478690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905205840).

478690560 is an abundant number, since it is smaller than the sum of its proper divisors (1331721120).

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

478690560 is an frugal number, since it uses more digits than its factorization.

478690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 478690560 is about 21878.9981489098. The cubic root of 478690560 is about 782.2608958917.

The spelling of 478690560 in words is "four hundred seventy-eight million, six hundred ninety thousand, five hundred sixty".