461280038976 has 105 divisors (see below), whose sum is σ = 1367523513741. Its totient is φ = 153743712768.

The previous prime is 461280038971. The next prime is 461280038983. The reversal of 461280038976 is 679830082164.

The square root of 461280038976 is 679176.

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

461280038976 is a `hidden beast` number, since 461 + 2 + 80 + 0 + 38 + 9 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 320673038400 + 140607000576 = 566280^2 + 374976^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (461280038971) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 48895956 + ... + 48905388.

Almost surely, 2^461280038976 is an apocalyptic number.

461280038976 is the 679176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461280038976

461280038976 is an abundant number, since it is smaller than the sum of its proper divisors (906243474765).

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

461280038976 is an frugal number, since it uses more digits than its factorization.

461280038976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18890 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 461280038976 in words is "four hundred sixty-one billion, two hundred eighty million, thirty-eight thousand, nine hundred seventy-six".