509604480 has 512 divisors, whose sum is σ = 2256076800. Its totient is φ = 105615360.

The previous prime is 509604467. The next prime is 509604497. The reversal of 509604480 is 84406905.

509604480 is a `hidden beast` number, since 5 + 0 + 9 + 604 + 48 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1330369 + ... + 1330751.

It is an arithmetic number, because the mean of its divisors is an integer number (4406400).

Almost surely, 2^509604480 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 509604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128038400).

509604480 is an abundant number, since it is smaller than the sum of its proper divisors (1746472320).

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

509604480 is a wasteful number, since it uses less digits than its factorization.

509604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 509604480 is about 22574.4209228055. The cubic root of 509604480 is about 798.7503824195.

The spelling of 509604480 in words is "five hundred nine million, six hundred four thousand, four hundred eighty".