462680960 has 128 divisors (see below), whose sum is σ = 1274918400. Its totient is φ = 157280256.

The previous prime is 462680957. The next prime is 462680969. The reversal of 462680960 is 69086264.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (41) 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 (462680969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622349 + ... + 623091.

It is an arithmetic number, because the mean of its divisors is an integer number (9960300).

Almost surely, 2^462680960 is an apocalyptic number.

462680960 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 462680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637459200).

462680960 is an abundant number, since it is smaller than the sum of its proper divisors (812237440).

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

462680960 is a wasteful number, since it uses less digits than its factorization.

462680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 462680960 is about 21510.0199906927. The cubic root of 462680960 is about 773.4410340158.

The spelling of 462680960 in words is "four hundred sixty-two million, six hundred eighty thousand, nine hundred sixty".