575602416 has 160 divisors (see below), whose sum is σ = 1815360000. Its totient is φ = 173809152.

The previous prime is 575602409. The next prime is 575602421. The reversal of 575602416 is 614206575.

It is a happy number.

575602416 is a `hidden beast` number, since 5 + 7 + 5 + 602 + 41 + 6 = 666.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187260 + ... + 190308.

It is an arithmetic number, because the mean of its divisors is an integer number (11346000).

Almost surely, 2^575602416 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 575602416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907680000).

575602416 is an abundant number, since it is smaller than the sum of its proper divisors (1239757584).

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

575602416 is a wasteful number, since it uses less digits than its factorization.

575602416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 575602416 is about 23991.7155701713. The cubic root of 575602416 is about 831.8420481095.

The spelling of 575602416 in words is "five hundred seventy-five million, six hundred two thousand, four hundred sixteen".