575424000 has 480 divisors, whose sum is σ = 2207421216. Its totient is φ = 149299200.

The previous prime is 575423969. The next prime is 575424001. The reversal of 575424000 is 424575.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×575424000² = 662225559552000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575424001) 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, 15551982 + ... + 15552018.

Almost surely, 2^575424000 is an apocalyptic number.

575424000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103710608).

575424000 is an abundant number, since it is smaller than the sum of its proper divisors (1631997216).

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

575424000 is an frugal number, since it uses more digits than its factorization.

575424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 575424000 is about 23987.9969984991. The cubic root of 575424000 is about 831.7560922115.

Adding to 575424000 its reverse (424575), we get a palindrome (575848575).

The spelling of 575424000 in words is "five hundred seventy-five million, four hundred twenty-four thousand".