507780480 has 256 divisors, whose sum is σ = 1755509760. Its totient is φ = 124354560.

The previous prime is 507780461. The next prime is 507780487. The reversal of 507780480 is 84087705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507780487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1533915 + ... + 1534245.

It is an arithmetic number, because the mean of its divisors is an integer number (6857460).

Almost surely, 2^507780480 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 507780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877754880).

507780480 is an abundant number, since it is smaller than the sum of its proper divisors (1247729280).

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

507780480 is a wasteful number, since it uses less digits than its factorization.

507780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 507780480 is about 22533.9850004388. The cubic root of 507780480 is about 797.7962683660.

The spelling of 507780480 in words is "five hundred seven million, seven hundred eighty thousand, four hundred eighty".