461459232 has 216 divisors, whose sum is σ = 1498770000. Its totient is φ = 134244864.

The previous prime is 461459231. The next prime is 461459249. The reversal of 461459232 is 232954164.

It is a happy number.

461459232 is a `hidden beast` number, since 4 + 61 + 4 + 592 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (461459231) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 924519 + ... + 925017.

It is an arithmetic number, because the mean of its divisors is an integer number (6938750).

Almost surely, 2^461459232 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 461459232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749385000).

461459232 is an abundant number, since it is smaller than the sum of its proper divisors (1037310768).

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

461459232 is a wasteful number, since it uses less digits than its factorization.

461459232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 536 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 461459232 is about 21481.6021748844. The cubic root of 461459232 is about 772.7596663748.

The spelling of 461459232 in words is "four hundred sixty-one million, four hundred fifty-nine thousand, two hundred thirty-two".