461120472 has 128 divisors (see below), whose sum is σ = 1321344000. Its totient is φ = 148936320.

The previous prime is 461120437. The next prime is 461120477. The reversal of 461120472 is 274021164.

461120472 is a `hidden beast` number, since 4 + 611 + 2 + 0 + 47 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461120477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1040683 + ... + 1041125.

It is an arithmetic number, because the mean of its divisors is an integer number (10323000).

Almost surely, 2^461120472 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 461120472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660672000).

461120472 is an abundant number, since it is smaller than the sum of its proper divisors (860223528).

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

461120472 is a wasteful number, since it uses less digits than its factorization.

461120472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 461120472 is about 21473.7158405340. The cubic root of 461120472 is about 772.5705242429.

The spelling of 461120472 in words is "four hundred sixty-one million, one hundred twenty thousand, four hundred seventy-two".