512790480 has 160 divisors (see below), whose sum is σ = 1807681920. Its totient is φ = 133539840.

The previous prime is 512790479. The next prime is 512790493. The reversal of 512790480 is 84097215.

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

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, 90120 + ... + 95640.

It is an arithmetic number, because the mean of its divisors is an integer number (11298012).

Almost surely, 2^512790480 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 512790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903840960).

512790480 is an abundant number, since it is smaller than the sum of its proper divisors (1294891440).

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

512790480 is a wasteful number, since it uses less digits than its factorization.

512790480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 512790480 is about 22644.8775664608. The cubic root of 512790480 is about 800.4114966352.

The spelling of 512790480 in words is "five hundred twelve million, seven hundred ninety thousand, four hundred eighty".