461024088 has 128 divisors (see below), whose sum is σ = 1401753600. Its totient is φ = 123346944.

The previous prime is 461024077. The next prime is 461024117. The reversal of 461024088 is 880420164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962233 + ... + 962711.

It is an arithmetic number, because the mean of its divisors is an integer number (10951200).

Almost surely, 2^461024088 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 461024088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700876800).

461024088 is an abundant number, since it is smaller than the sum of its proper divisors (940729512).

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

461024088 is a wasteful number, since it uses less digits than its factorization.

461024088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 461024088 is about 21471.4714912602. The cubic root of 461024088 is about 772.5166925939.

The spelling of 461024088 in words is "four hundred sixty-one million, twenty-four thousand, eighty-eight".