461721296 has 40 divisors (see below), whose sum is σ = 929497800. Its totient is φ = 221921280.

The previous prime is 461721289. The next prime is 461721301. The reversal of 461721296 is 692127164.

It can be written as a sum of positive squares in 4 ways, for example, as 131790400 + 329930896 = 11480^2 + 18164^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109760 + ... + 113888.

It is an arithmetic number, because the mean of its divisors is an integer number (23237445).

Almost surely, 2^461721296 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 461721296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464748900).

461721296 is an abundant number, since it is smaller than the sum of its proper divisors (467776504).

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

461721296 is a wasteful number, since it uses less digits than its factorization.

461721296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407 (or 4401 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 461721296 is about 21487.7010403626. The cubic root of 461721296 is about 772.9059228235.

The spelling of 461721296 in words is "four hundred sixty-one million, seven hundred twenty-one thousand, two hundred ninety-six".