575492064 has 288 divisors, whose sum is σ = 1902942720. Its totient is φ = 151345152.

The previous prime is 575492063. The next prime is 575492089. The reversal of 575492064 is 460294575.

It is a super-2 number, since 2×575492064² = 662382231453960192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575492063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4200604 + ... + 4200740.

It is an arithmetic number, because the mean of its divisors is an integer number (6607440).

Almost surely, 2^575492064 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 575492064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951471360).

575492064 is an abundant number, since it is smaller than the sum of its proper divisors (1327450656).

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

575492064 is a wasteful number, since it uses less digits than its factorization.

575492064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 575492064 is about 23989.4156660807. The cubic root of 575492064 is about 831.7888856615.

It can be divided in two parts, 5754 and 92064, that multiplied together give a square (529736256 = 23016²).

The spelling of 575492064 in words is "five hundred seventy-five million, four hundred ninety-two thousand, sixty-four".