461654032 has 80 divisors (see below), whose sum is σ = 1061217792. Its totient is φ = 190425600.

The previous prime is 461654021. The next prime is 461654093. The reversal of 461654032 is 230456164.

It is a junction number, because it is equal to n+sod(n) for n = 461653985 and 461654003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417993 + ... + 419095.

Almost surely, 2^461654032 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 461654032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530608896).

461654032 is an abundant number, since it is smaller than the sum of its proper divisors (599563760).

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

461654032 is a wasteful number, since it uses less digits than its factorization.

461654032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 461654032 is about 21486.1358089350. The cubic root of 461654032 is about 772.8683884428.

The spelling of 461654032 in words is "four hundred sixty-one million, six hundred fifty-four thousand, thirty-two".