509274480 has 480 divisors, whose sum is σ = 1994872320. Its totient is φ = 106444800.

The previous prime is 509274463. The next prime is 509274517. The reversal of 509274480 is 84472905.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7172845 + ... + 7172915.

It is an arithmetic number, because the mean of its divisors is an integer number (4155984).

Almost surely, 2^509274480 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 509274480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997436160).

509274480 is an abundant number, since it is smaller than the sum of its proper divisors (1485597840).

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

509274480 is a wasteful number, since it uses less digits than its factorization.

509274480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 509274480 is about 22567.1105815521. The cubic root of 509274480 is about 798.5779319844.

The spelling of 509274480 in words is "five hundred nine million, two hundred seventy-four thousand, four hundred eighty".