461571280 has 40 divisors (see below), whose sum is σ = 1074946824. Its totient is φ = 184320000.

The previous prime is 461571277. The next prime is 461571283. The reversal of 461571280 is 82175164.

It is an interprime number because it is at equal distance from previous prime (461571277) and next prime (461571283).

It can be written as a sum of positive squares in 4 ways, for example, as 63808144 + 397763136 = 7988^2 + 19944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461571283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46780 + ... + 55780.

Almost surely, 2^461571280 is an apocalyptic number.

461571280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461571280 is an abundant number, since it is smaller than the sum of its proper divisors (613375544).

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

461571280 is a wasteful number, since it uses less digits than its factorization.

461571280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 461571280 is about 21484.2100157302. The cubic root of 461571280 is about 772.8222065098.

The spelling of 461571280 in words is "four hundred sixty-one million, five hundred seventy-one thousand, two hundred eighty".