479284828416 has 81 divisors (see below), whose sum is σ = 1381992135979. Its totient is φ = 159750532608.

The previous prime is 479284828381. The next prime is 479284828439. The reversal of 479284828416 is 614828482974.

The square root of 479284828416 is 692304.

It is a perfect power (a square), and thus also a powerful number.

479284828416 is a `hidden beast` number, since 4 + 79 + 2 + 8 + 482 + 84 + 1 + 6 = 666.

It is a super-2 number, since 2×479284828416² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33223381 + ... + 33237803.

Almost surely, 2^479284828416 is an apocalyptic number.

479284828416 is the 692304-th square number.

It is an amenable number.

479284828416 is an abundant number, since it is smaller than the sum of its proper divisors (902707307563).

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

479284828416 is an frugal number, since it uses more digits than its factorization.

479284828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28868 (or 14428 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 479284828416 in words is "four hundred seventy-nine billion, two hundred eighty-four million, eight hundred twenty-eight thousand, four hundred sixteen".