574264080 has 400 divisors, whose sum is σ = 2279947824. Its totient is φ = 132710400.

The previous prime is 574264021. The next prime is 574264091. The reversal of 574264080 is 80462475.

574264080 is a `hidden beast` number, since 5 + 7 + 4 + 2 + 640 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28387584 + 545876496 = 5328^2 + 23364^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1431880 + ... + 1432280.

Almost surely, 2^574264080 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 574264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139973912).

574264080 is an abundant number, since it is smaller than the sum of its proper divisors (1705683744).

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

574264080 is a wasteful number, since it uses less digits than its factorization.

574264080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 574264080 is about 23963.8077107959. The cubic root of 574264080 is about 831.1968411178.

The spelling of 574264080 in words is "five hundred seventy-four million, two hundred sixty-four thousand, eighty".