575144640 has 336 divisors, whose sum is σ = 2312773632. Its totient is φ = 128452608.

The previous prime is 575144639. The next prime is 575144677. The reversal of 575144640 is 46441575.

575144640 is a `hidden beast` number, since 5 + 7 + 5 + 1 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 575144595 and 575144604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947217 + ... + 947823.

Almost surely, 2^575144640 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 575144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156386816).

575144640 is an abundant number, since it is smaller than the sum of its proper divisors (1737628992).

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

575144640 is a wasteful number, since it uses less digits than its factorization.

575144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 575144640 is about 23982.1733794083. The cubic root of 575144640 is about 831.6214685864.

The spelling of 575144640 in words is "five hundred seventy-five million, one hundred forty-four thousand, six hundred forty".