505599640 has 96 divisors (see below), whose sum is σ = 1425196080. Its totient is φ = 160005888.

The previous prime is 505599631. The next prime is 505599667. The reversal of 505599640 is 46995505.

It is a super-3 number, since 3×505599640³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15559 + ... + 35401.

Almost surely, 2^505599640 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 505599640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712598040).

505599640 is an abundant number, since it is smaller than the sum of its proper divisors (919596440).

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

505599640 is a wasteful number, since it uses less digits than its factorization.

505599640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19881 (or 19870 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 43.

The square root of 505599640 is about 22485.5429109461. The cubic root of 505599640 is about 796.6524914370.

The spelling of 505599640 in words is "five hundred five million, five hundred ninety-nine thousand, six hundred forty".