503946240 has 352 divisors, whose sum is σ = 1902236160. Its totient is φ = 111476736.

The previous prime is 503946217. The next prime is 503946263. The reversal of 503946240 is 42649305.

It is an interprime number because it is at equal distance from previous prime (503946217) and next prime (503946263).

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, 4623306 + ... + 4623414.

It is an arithmetic number, because the mean of its divisors is an integer number (5404080).

Almost surely, 2^503946240 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 503946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951118080).

503946240 is an abundant number, since it is smaller than the sum of its proper divisors (1398289920).

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

503946240 is a wasteful number, since it uses less digits than its factorization.

503946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 503946240 is about 22448.7469583494. The cubic root of 503946240 is about 795.7831450552.

The spelling of 503946240 in words is "five hundred three million, nine hundred forty-six thousand, two hundred forty".