461719920 has 40 divisors (see below), whose sum is σ = 1431332496. Its totient is φ = 123125248.

The previous prime is 461719913. The next prime is 461719957. The reversal of 461719920 is 29917164.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 961677 + ... + 962156.

Almost surely, 2^461719920 is an apocalyptic number.

461719920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461719920 is an abundant number, since it is smaller than the sum of its proper divisors (969612576).

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

461719920 is a wasteful number, since it uses less digits than its factorization.

461719920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923849 (or 1923843 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 461719920 is about 21487.6690220228. The cubic root of 461719920 is about 772.9051550302.

The spelling of 461719920 in words is "four hundred sixty-one million, seven hundred nineteen thousand, nine hundred twenty".