466768960 has 56 divisors (see below), whose sum is σ = 1270284480. Its totient is φ = 160034304.

The previous prime is 466768931. The next prime is 466768961. The reversal of 466768960 is 69867664.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 466768898 and 466768907.

It is not an unprimeable number, because it can be changed into a prime (466768961) 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, 101950 + ... + 106429.

Almost surely, 2^466768960 is an apocalyptic number.

466768960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466768960 is an abundant number, since it is smaller than the sum of its proper divisors (803515520).

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

466768960 is a wasteful number, since it uses less digits than its factorization.

466768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208403 (or 208393 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The square root of 466768960 is about 21604.8364955627. The cubic root of 466768960 is about 775.7122609115.

The spelling of 466768960 in words is "four hundred sixty-six million, seven hundred sixty-eight thousand, nine hundred sixty".