509552640 has 384 divisors, whose sum is σ = 1926288000. Its totient is φ = 127401984.

The previous prime is 509552627. The next prime is 509552657. The reversal of 509552640 is 46255905.

509552640 is a `hidden beast` number, since 5 + 0 + 9 + 5 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 509552595 and 509552604.

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, 5253072 + ... + 5253168.

It is an arithmetic number, because the mean of its divisors is an integer number (5016375).

Almost surely, 2^509552640 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 509552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963144000).

509552640 is an abundant number, since it is smaller than the sum of its proper divisors (1416735360).

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

509552640 is a wasteful number, since it uses less digits than its factorization.

509552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 509552640 is about 22573.2726913932. The cubic root of 509552640 is about 798.7232969538.

The spelling of 509552640 in words is "five hundred nine million, five hundred fifty-two thousand, six hundred forty".