575346240 has 504 divisors, whose sum is σ = 2403116352. Its totient is φ = 130636800.

The previous prime is 575346209. The next prime is 575346251. The reversal of 575346240 is 42643575.

575346240 is a `hidden beast` number, since 5 + 75 + 346 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 575346195 and 575346204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3810165 + ... + 3810315.

It is an arithmetic number, because the mean of its divisors is an integer number (4768088).

Almost surely, 2^575346240 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 575346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201558176).

575346240 is an abundant number, since it is smaller than the sum of its proper divisors (1827770112).

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

575346240 is a wasteful number, since it uses less digits than its factorization.

575346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 575346240 is about 23986.3761331302. The cubic root of 575346240 is about 831.7186240330.

The spelling of 575346240 in words is "five hundred seventy-five million, three hundred forty-six thousand, two hundred forty".