479410421760 has 384 divisors, whose sum is σ = 1674602748000. Its totient is φ = 126868783104.

The previous prime is 479410421713. The next prime is 479410421773. The reversal of 479410421760 is 67124014974.

479410421760 is a `hidden beast` number, since 479 + 4 + 1 + 0 + 4 + 2 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204962671 + ... + 204965009.

Almost surely, 2^479410421760 is an apocalyptic number.

479410421760 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 479410421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837301374000).

479410421760 is an abundant number, since it is smaller than the sum of its proper divisors (1195192326240).

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

479410421760 is a wasteful number, since it uses less digits than its factorization.

479410421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 479410421760 in words is "four hundred seventy-nine billion, four hundred ten million, four hundred twenty-one thousand, seven hundred sixty".