460409508 has 120 divisors (see below), whose sum is σ = 1304142840. Its totient is φ = 140797440.

The previous prime is 460409507. The next prime is 460409527. The reversal of 460409508 is 805904064.

It can be written as a sum of positive squares in 4 ways, for example, as 10036224 + 450373284 = 3168^2 + 21222^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (460409503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1183378 + ... + 1183766.

It is an arithmetic number, because the mean of its divisors is an integer number (10867857).

Almost surely, 2^460409508 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 460409508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652071420).

460409508 is an abundant number, since it is smaller than the sum of its proper divisors (843733332).

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

460409508 is a wasteful number, since it uses less digits than its factorization.

460409508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 460409508 is about 21457.1551702457. The cubic root of 460409508 is about 772.1732655386.

460409508 divided by its sum of digits (36) gives a triangular number (12789153 = T₅₀₅₇).

The spelling of 460409508 in words is "four hundred sixty million, four hundred nine thousand, five hundred eight".