478520460 has 144 divisors (see below), whose sum is σ = 1642298112. Its totient is φ = 115992000.

The previous prime is 478520443. The next prime is 478520477. The reversal of 478520460 is 64025874.

478520460 is a `hidden beast` number, since 4 + 78 + 520 + 4 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (478520443) and next prime (478520477).

It is a super-2 number, since 2×478520460² = 457963661277223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48985 + ... + 57935.

It is an arithmetic number, because the mean of its divisors is an integer number (11404848).

Almost surely, 2^478520460 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 478520460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821149056).

478520460 is an abundant number, since it is smaller than the sum of its proper divisors (1163777652).

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

478520460 is a wasteful number, since it uses less digits than its factorization.

478520460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8986 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 478520460 is about 21875.1105140066. The cubic root of 478520460 is about 782.1682275769.

The spelling of 478520460 in words is "four hundred seventy-eight million, five hundred twenty thousand, four hundred sixty".