480762870 has 128 divisors (see below), whose sum is σ = 1381017600. Its totient is φ = 104788992.

The previous prime is 480762869. The next prime is 480762901. The reversal of 480762870 is 78267084.

It is a super-3 number, since 3×480762870³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 541567 + ... + 542453.

It is an arithmetic number, because the mean of its divisors is an integer number (10789200).

Almost surely, 2^480762870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480762870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690508800).

480762870 is an abundant number, since it is smaller than the sum of its proper divisors (900254730).

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

480762870 is a wasteful number, since it uses less digits than its factorization.

480762870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022.

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 480762870 is about 21926.3054343407. The cubic root of 480762870 is about 783.3881052190.

The spelling of 480762870 in words is "four hundred eighty million, seven hundred sixty-two thousand, eight hundred seventy".