420324008976 has 495 divisors, whose sum is σ = 1322532443869. Its totient is φ = 129395097216.

The previous prime is 420324008933. The next prime is 420324008981. The reversal of 420324008976 is 679800423024.

The square root of 420324008976 is 648324.

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

It can be written as a sum of positive squares in only one way, i.e., 220407714576 + 199916294400 = 469476^2 + 447120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 14493931330 + ... + 14493931358.

Almost surely, 2^420324008976 is an apocalyptic number.

420324008976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

420324008976 is the 648324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420324008976

420324008976 is an abundant number, since it is smaller than the sum of its proper divisors (902208434893).

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

420324008976 is an frugal number, since it uses more digits than its factorization.

420324008976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 420324008976 in words is "four hundred twenty billion, three hundred twenty-four million, eight thousand, nine hundred seventy-six".