460002480 has 160 divisors (see below), whose sum is σ = 1646466048. Its totient is φ = 104064000.

The previous prime is 460002467. The next prime is 460002481. The reversal of 460002480 is 84200064.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 460002480.

It is not an unprimeable number, because it can be changed into a prime (460002481) 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, 168325 + ... + 171035.

Almost surely, 2^460002480 is an apocalyptic number.

460002480 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 460002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823233024).

460002480 is an abundant number, since it is smaller than the sum of its proper divisors (1186463568).

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

460002480 is a wasteful number, since it uses less digits than its factorization.

460002480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 460002480 is about 21447.6684047474. The cubic root of 460002480 is about 771.9456501958.

The spelling of 460002480 in words is "four hundred sixty million, two thousand, four hundred eighty".