461100696 has 256 divisors, whose sum is σ = 1459814400. Its totient is φ = 118540800.

The previous prime is 461100659. The next prime is 461100733. The reversal of 461100696 is 696001164.

It is an interprime number because it is at equal distance from previous prime (461100659) and next prime (461100733).

It is a super-2 number, since 2×461100696² = 425227703703368832, 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 63 ways as a sum of consecutive naturals, for example, 6494341 + ... + 6494411.

It is an arithmetic number, because the mean of its divisors is an integer number (5702400).

Almost surely, 2^461100696 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 461100696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729907200).

461100696 is an abundant number, since it is smaller than the sum of its proper divisors (998713704).

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

461100696 is a wasteful number, since it uses less digits than its factorization.

461100696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 461100696 is about 21473.2553656869. The cubic root of 461100696 is about 772.5594797155.

The spelling of 461100696 in words is "four hundred sixty-one million, one hundred thousand, six hundred ninety-six".