462781920 has 96 divisors (see below), whose sum is σ = 1466452512. Its totient is φ = 122673152.

The previous prime is 462781909. The next prime is 462782077. The reversal of 462781920 is 29187264.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 80254 + ... + 85826.

It is an arithmetic number, because the mean of its divisors is an integer number (15275547).

Almost surely, 2^462781920 is an apocalyptic number.

462781920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733226256).

462781920 is an abundant number, since it is smaller than the sum of its proper divisors (1003670592).

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

462781920 is a wasteful number, since it uses less digits than its factorization.

462781920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 462781920 is about 21512.3666759378. The cubic root of 462781920 is about 773.4972865487.

The spelling of 462781920 in words is "four hundred sixty-two million, seven hundred eighty-one thousand, nine hundred twenty".