461098296 has 96 divisors (see below), whose sum is σ = 1308303360. Its totient is φ = 146431296.

The previous prime is 461098279. The next prime is 461098301. The reversal of 461098296 is 692890164.

It is a happy number.

461098296 is a `hidden beast` number, since 4 + 610 + 9 + 8 + 29 + 6 = 666.

It is a super-2 number, since 2×461098296² = 425223277148207232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633885 + ... + 634611.

It is an arithmetic number, because the mean of its divisors is an integer number (13628160).

Almost surely, 2^461098296 is an apocalyptic number.

461098296 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461098296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654151680).

461098296 is an abundant number, since it is smaller than the sum of its proper divisors (847205064).

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

461098296 is a wasteful number, since it uses less digits than its factorization.

461098296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 461098296 is about 21473.1994821452. The cubic root of 461098296 is about 772.5581393387.

The spelling of 461098296 in words is "four hundred sixty-one million, ninety-eight thousand, two hundred ninety-six".