478746495360 has 1920 divisors, whose sum is σ = 2109637807200. Its totient is φ = 103004504064.

The previous prime is 478746495347. The next prime is 478746495397. The reversal of 478746495360 is 63594647874.

It is a happy number.

478746495360 is a `hidden beast` number, since 4 + 7 + 87 + 4 + 6 + 495 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4935530832 + ... + 4935530928.

Almost surely, 2^478746495360 is an apocalyptic number.

478746495360 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 478746495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054818903600).

478746495360 is an abundant number, since it is smaller than the sum of its proper divisors (1630891311840).

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

478746495360 is a wasteful number, since it uses less digits than its factorization.

478746495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 478746495360 in words is "four hundred seventy-eight billion, seven hundred forty-six million, four hundred ninety-five thousand, three hundred sixty".