461567928 has 64 divisors (see below), whose sum is σ = 1206374400. Its totient is φ = 146989440.

The previous prime is 461567927. The next prime is 461567929. The reversal of 461567928 is 829765164.

It is an interprime number because it is at equal distance from previous prime (461567927) and next prime (461567929).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461567921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54850 + ... + 62702.

It is an arithmetic number, because the mean of its divisors is an integer number (18849600).

Almost surely, 2^461567928 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 461567928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603187200).

461567928 is an abundant number, since it is smaller than the sum of its proper divisors (744806472).

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

461567928 is a wasteful number, since it uses less digits than its factorization.

461567928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7968 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 461567928 is about 21484.1320048076. The cubic root of 461567928 is about 772.8203357216.

The spelling of 461567928 in words is "four hundred sixty-one million, five hundred sixty-seven thousand, nine hundred twenty-eight".