462766960 has 40 divisors (see below), whose sum is σ = 1076890896. Its totient is φ = 184942080.

The previous prime is 462766937. The next prime is 462766961. The reversal of 462766960 is 69667264.

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

It is a self number, because there is not a number n which added to its sum of digits gives 462766960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462766961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130815 + ... + 134305.

Almost surely, 2^462766960 is an apocalyptic number.

462766960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462766960 is an abundant number, since it is smaller than the sum of its proper divisors (614123936).

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

462766960 is a wasteful number, since it uses less digits than its factorization.

462766960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The square root of 462766960 is about 21512.0189661501. The cubic root of 462766960 is about 773.4889517056.

The spelling of 462766960 in words is "four hundred sixty-two million, seven hundred sixty-six thousand, nine hundred sixty".