520253440 has 208 divisors, whose sum is σ = 1509765120. Its totient is φ = 168099840.

The previous prime is 520253429. The next prime is 520253443. The reversal of 520253440 is 44352025.

520253440 = 2293² + 2294² + ... + 2387².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520253443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2723745 + ... + 2723935.

Almost surely, 2^520253440 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 520253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754882560).

520253440 is an abundant number, since it is smaller than the sum of its proper divisors (989511680).

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

520253440 is a wasteful number, since it uses less digits than its factorization.

520253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 520253440 is about 22809.0648646541. The cubic root of 520253440 is about 804.2757731576.

The spelling of 520253440 in words is "five hundred twenty million, two hundred fifty-three thousand, four hundred forty".