576253440 has 400 divisors, whose sum is σ = 2364750432. Its totient is φ = 131383296.

The previous prime is 576253387. The next prime is 576253453. The reversal of 576253440 is 44352675.

It is a super-2 number, since 2×576253440² = 664136054223667200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 576253395 and 576253404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451322 + ... + 1451718.

Almost surely, 2^576253440 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 576253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182375216).

576253440 is an abundant number, since it is smaller than the sum of its proper divisors (1788496992).

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

576253440 is an equidigital number, since it uses as much as digits as its factorization.

576253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 576253440 is about 24005.2794193277. The cubic root of 576253440 is about 832.1555429115.

It can be divided in two parts, 576 and 253440, that added together give a square (254016 = 504²).

The spelling of 576253440 in words is "five hundred seventy-six million, two hundred fifty-three thousand, four hundred forty".