480402840 has 128 divisors (see below), whose sum is σ = 1583193600. Its totient is φ = 116075520.

The previous prime is 480402803. The next prime is 480402851. The reversal of 480402840 is 48204084.

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

It is a junction number, because it is equal to n+sod(n) for n = 480402798 and 480402807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47860 + ... + 57020.

It is an arithmetic number, because the mean of its divisors is an integer number (12368700).

Almost surely, 2^480402840 is an apocalyptic number.

480402840 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 480402840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791596800).

480402840 is an abundant number, since it is smaller than the sum of its proper divisors (1102790760).

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

480402840 is a wasteful number, since it uses less digits than its factorization.

480402840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 480402840 is about 21918.0938952273. The cubic root of 480402840 is about 783.1925038313.

The spelling of 480402840 in words is "four hundred eighty million, four hundred two thousand, eight hundred forty".