460193997376 has 63 divisors (see below), whose sum is σ = 964006120371. Its totient is φ = 217937787264.

The previous prime is 460193997349. The next prime is 460193997379. The reversal of 460193997376 is 673799391064.

The square root of 460193997376 is 678376.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460193997379) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103110921 + ... + 103115383.

Almost surely, 2^460193997376 is an apocalyptic number.

460193997376 is the 678376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460193997376

460193997376 is an abundant number, since it is smaller than the sum of its proper divisors (503812122995).

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

460193997376 is an frugal number, since it uses more digits than its factorization.

460193997376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 64.

Multiplying 460193997376 by its sum of digits (64), we get a square (29452415832064 = 5427008²).

460193997376 divided by its sum of digits (64) gives a square (7190531209 = 84797²).

The spelling of 460193997376 in words is "four hundred sixty billion, one hundred ninety-three million, nine hundred ninety-seven thousand, three hundred seventy-six".