461441472 has 112 divisors (see below), whose sum is σ = 1305580320. Its totient is φ = 143327232.

The previous prime is 461441423. The next prime is 461441483. The reversal of 461441472 is 274144164.

It is a congruent number.

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, 355128 + ... + 356424.

Almost surely, 2^461441472 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 461441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652790160).

461441472 is an abundant number, since it is smaller than the sum of its proper divisors (844138848).

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

461441472 is a wasteful number, since it uses less digits than its factorization.

461441472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1428 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 461441472 is about 21481.1887939192. The cubic root of 461441472 is about 772.7497526152.

The spelling of 461441472 in words is "four hundred sixty-one million, four hundred forty-one thousand, four hundred seventy-two".