461864088 has 96 divisors (see below), whose sum is σ = 1449826560. Its totient is φ = 130092480.

The previous prime is 461864087. The next prime is 461864089. The reversal of 461864088 is 880468164.

461864088 = T₂₇₂ + T₂₇₃ + ... + T₁₄₀₇.

It is an interprime number because it is at equal distance from previous prime (461864087) and next prime (461864089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461864087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29331 + ... + 42237.

It is an arithmetic number, because the mean of its divisors is an integer number (15102360).

Almost surely, 2^461864088 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 461864088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724913280).

461864088 is an abundant number, since it is smaller than the sum of its proper divisors (987962472).

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

461864088 is a wasteful number, since it uses less digits than its factorization.

461864088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12997 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 461864088 is about 21491.0234283991. The cubic root of 461864088 is about 772.9855909468.

The spelling of 461864088 in words is "four hundred sixty-one million, eight hundred sixty-four thousand, eighty-eight".