460535532 has 48 divisors (see below), whose sum is σ = 1125653760. Its totient is φ = 146267968.

The previous prime is 460535531. The next prime is 460535567. The reversal of 460535532 is 235535064.

It is a junction number, because it is equal to n+sod(n) for n = 460535493 and 460535502.

It is not an unprimeable number, because it can be changed into a prime (460535531) 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, 71143 + ... + 77345.

It is an arithmetic number, because the mean of its divisors is an integer number (23451120).

Almost surely, 2^460535532 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 460535532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562826880).

460535532 is an abundant number, since it is smaller than the sum of its proper divisors (665118228).

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

460535532 is a wasteful number, since it uses less digits than its factorization.

460535532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 6500 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The square root of 460535532 is about 21460.0916121064. The cubic root of 460535532 is about 772.2437125967.

The spelling of 460535532 in words is "four hundred sixty million, five hundred thirty-five thousand, five hundred thirty-two".