461972538 has 16 divisors (see below), whose sum is σ = 1026605760. Its totient is φ = 153990828.

The previous prime is 461972531. The next prime is 461972557. The reversal of 461972538 is 835279164.

461972538 is a `hidden beast` number, since 4 + 619 + 7 + 25 + 3 + 8 = 666.

It is a super-2 number, since 2×461972538² = 426837251732322888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 461972493 and 461972502.

It is not an unprimeable number, because it can be changed into a prime (461972531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4277470 + ... + 4277577.

It is an arithmetic number, because the mean of its divisors is an integer number (64162860).

Almost surely, 2^461972538 is an apocalyptic number.

461972538 is an abundant number, since it is smaller than the sum of its proper divisors (564633222).

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

461972538 is a wasteful number, since it uses less digits than its factorization.

461972538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555058 (or 8555052 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 461972538 is about 21493.5464267766. The cubic root of 461972538 is about 773.0460876232.

The spelling of 461972538 in words is "four hundred sixty-one million, nine hundred seventy-two thousand, five hundred thirty-eight".