503255648 has 96 divisors (see below), whose sum is σ = 1192097088. Its totient is φ = 204595200.

The previous prime is 503255639. The next prime is 503255657. The reversal of 503255648 is 846552305.

It is an interprime number because it is at equal distance from previous prime (503255639) and next prime (503255657).

It is a hoax number, since the sum of its digits (38) 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 15 ways as a sum of consecutive naturals, for example, 339068 + ... + 340548.

It is an arithmetic number, because the mean of its divisors is an integer number (12417678).

Almost surely, 2^503255648 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 503255648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596048544).

503255648 is an abundant number, since it is smaller than the sum of its proper divisors (688841440).

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

503255648 is a wasteful number, since it uses less digits than its factorization.

503255648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The square root of 503255648 is about 22433.3601584783. The cubic root of 503255648 is about 795.4194735262.

The spelling of 503255648 in words is "five hundred three million, two hundred fifty-five thousand, six hundred forty-eight".