574056000 has 672 divisors, whose sum is σ = 2521988352. Its totient is φ = 121651200.

The previous prime is 574055981. The next prime is 574056001. The reversal of 574056000 is 650475.

574056000 is a `hidden beast` number, since 57 + 4 + 0 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×574056000² = 659080582272000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (574056001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8567967 + ... + 8568033.

Almost surely, 2^574056000 is an apocalyptic number.

574056000 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 574056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260994176).

574056000 is an abundant number, since it is smaller than the sum of its proper divisors (1947932352).

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

574056000 is a wasteful number, since it uses less digits than its factorization.

574056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 574056000 is about 23959.4657703380. The cubic root of 574056000 is about 831.0964364790.

The spelling of 574056000 in words is "five hundred seventy-four million, fifty-six thousand".