460207760 has 40 divisors (see below), whose sum is σ = 1075451256. Its totient is φ = 183142400.

The previous prime is 460207753. The next prime is 460207763. The reversal of 460207760 is 67702064.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 125171344 + 335036416 = 11188^2 + 18304^2 .

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

It is not an unprimeable number, because it can be changed into a prime (460207763) 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, 1160 + ... + 30360.

Almost surely, 2^460207760 is an apocalyptic number.

460207760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460207760 is an abundant number, since it is smaller than the sum of its proper divisors (615243496).

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

460207760 is a wasteful number, since it uses less digits than its factorization.

460207760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29411 (or 29405 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 460207760 is about 21452.4534727383. The cubic root of 460207760 is about 772.0604622122.

The spelling of 460207760 in words is "four hundred sixty million, two hundred seven thousand, seven hundred sixty".