479605716000 has 144 divisors (see below), whose sum is σ = 1702120813848. Its totient is φ = 127894848000.

The previous prime is 479605715987. The next prime is 479605716017. The reversal of 479605716000 is 617506974.

It is a happy number.

479605716000 is a `hidden beast` number, since 4 + 79 + 6 + 0 + 571 + 6 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 238991921424 + 240613794576 = 488868^2 + 490524^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 6625191 + ... + 6697190.

Almost surely, 2^479605716000 is an apocalyptic number.

479605716000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

479605716000 is an abundant number, since it is smaller than the sum of its proper divisors (1222515097848).

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

479605716000 is a wasteful number, since it uses less digits than its factorization.

479605716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13322412 (or 13322391 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 479605716000 in words is "four hundred seventy-nine billion, six hundred five million, seven hundred sixteen thousand".