574052400 has 240 divisors, whose sum is σ = 2132958720. Its totient is φ = 146361600.

The previous prime is 574052383. The next prime is 574052417. The reversal of 574052400 is 4250475.

574052400 is a `hidden beast` number, since 574 + 0 + 52 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (574052383) and next prime (574052417).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247245 + ... + 249555.

It is an arithmetic number, because the mean of its divisors is an integer number (8887328).

Almost surely, 2^574052400 is an apocalyptic number.

574052400 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 574052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066479360).

574052400 is an abundant number, since it is smaller than the sum of its proper divisors (1558906320).

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

574052400 is a wasteful number, since it uses less digits than its factorization.

574052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2344 counting only the distinct ones).

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

The square root of 574052400 is about 23959.3906433365. The cubic root of 574052400 is about 831.0946991611.

The spelling of 574052400 in words is "five hundred seventy-four million, fifty-two thousand, four hundred".