503749440 has 168 divisors, whose sum is σ = 1834789320. Its totient is φ = 126418944.

The previous prime is 503749409. The next prime is 503749447. The reversal of 503749440 is 44947305.

It can be written as a sum of positive squares in 4 ways, for example, as 205979904 + 297769536 = 14352^2 + 17256^2 .

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 = 503749395 and 503749404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503749447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43816 + ... + 54104.

It is an arithmetic number, because the mean of its divisors is an integer number (10921365).

Almost surely, 2^503749440 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 503749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917394660).

503749440 is an abundant number, since it is smaller than the sum of its proper divisors (1331039880).

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

503749440 is a wasteful number, since it uses less digits than its factorization.

503749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10329 (or 10316 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 503749440 is about 22444.3632121742. The cubic root of 503749440 is about 795.6795423947.

The spelling of 503749440 in words is "five hundred three million, seven hundred forty-nine thousand, four hundred forty".