461793948 has 96 divisors (see below), whose sum is σ = 1348558848. Its totient is φ = 119486400.

The previous prime is 461793923. The next prime is 461793979. The reversal of 461793948 is 849397164.

It is a self number, because there is not a number n which added to its sum of digits gives 461793948.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286561 + ... + 288167.

It is an arithmetic number, because the mean of its divisors is an integer number (14047488).

Almost surely, 2^461793948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461793948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674279424).

461793948 is an abundant number, since it is smaller than the sum of its proper divisors (886764900).

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

461793948 is a wasteful number, since it uses less digits than its factorization.

461793948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1941 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 461793948 is about 21489.3915223303. The cubic root of 461793948 is about 772.9464596991.

The spelling of 461793948 in words is "four hundred sixty-one million, seven hundred ninety-three thousand, nine hundred forty-eight".