461007576 has 24 divisors (see below), whose sum is σ = 1248562380. Its totient is φ = 153669168.

The previous prime is 461007571. The next prime is 461007619. The reversal of 461007576 is 675700164.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 461007576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461007571) 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 5 ways as a sum of consecutive naturals, for example, 3201370 + ... + 3201513.

Almost surely, 2^461007576 is an apocalyptic number.

It is an amenable number.

461007576 is an abundant number, since it is smaller than the sum of its proper divisors (787554804).

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

461007576 is a wasteful number, since it uses less digits than its factorization.

461007576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402895 (or 6402888 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 461007576 is about 21471.0869776078. The cubic root of 461007576 is about 772.5074696862.

The spelling of 461007576 in words is "four hundred sixty-one million, seven thousand, five hundred seventy-six".