574400160 has 480 divisors, whose sum is σ = 2212987392. Its totient is φ = 139898880.

The previous prime is 574400159. The next prime is 574400161. The reversal of 574400160 is 61004475.

It is an interprime number because it is at equal distance from previous prime (574400159) and next prime (574400161).

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

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

It is not an unprimeable number, because it can be changed into a prime (574400161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12221257 + ... + 12221303.

Almost surely, 2^574400160 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 574400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106493696).

574400160 is an abundant number, since it is smaller than the sum of its proper divisors (1638587232).

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

574400160 is a wasteful number, since it uses less digits than its factorization.

574400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 574400160 is about 23966.6468242848. The cubic root of 574400160 is about 831.2624905504.

The spelling of 574400160 in words is "five hundred seventy-four million, four hundred thousand, one hundred sixty".