460207332 has 120 divisors (see below), whose sum is σ = 1331084216. Its totient is φ = 137728512.

The previous prime is 460207291. The next prime is 460207373. The reversal of 460207332 is 233702064.

It is an interprime number because it is at equal distance from previous prime (460207291) and next prime (460207373).

It can be written as a sum of positive squares in 4 ways, for example, as 144576576 + 315630756 = 12024^2 + 17766^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 460207296 and 460207305.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 154368 + ... + 157320.

Almost surely, 2^460207332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460207332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665542108).

460207332 is an abundant number, since it is smaller than the sum of its proper divisors (870876884).

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

460207332 is a wasteful number, since it uses less digits than its factorization.

460207332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 460207332 is about 21452.4434971870. The cubic root of 460207332 is about 772.0602228696.

Adding to 460207332 its reverse (233702064), we get a palindrome (693909396).

The spelling of 460207332 in words is "four hundred sixty million, two hundred seven thousand, three hundred thirty-two".