460530480 has 160 divisors (see below), whose sum is σ = 1472405760. Its totient is φ = 119024640.

The previous prime is 460530479. The next prime is 460530481. The reversal of 460530480 is 84035064.

It is an interprime number because it is at equal distance from previous prime (460530479) and next prime (460530481).

It is a super-3 number, since 3×460530480³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (460530481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214931 + ... + 1215309.

It is an arithmetic number, because the mean of its divisors is an integer number (9202536).

Almost surely, 2^460530480 is an apocalyptic number.

460530480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460530480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736202880).

460530480 is an abundant number, since it is smaller than the sum of its proper divisors (1011875280).

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

460530480 is a wasteful number, since it uses less digits than its factorization.

460530480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 460530480 is about 21459.9739049236. The cubic root of 460530480 is about 772.2408887904.

The spelling of 460530480 in words is "four hundred sixty million, five hundred thirty thousand, four hundred eighty".