575342040 has 512 divisors, whose sum is σ = 2322432000. Its totient is φ = 110647296.

The previous prime is 575342029. The next prime is 575342041. The reversal of 575342040 is 40243575.

575342040 = 161² + 162² + ... + 1200².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 575341989 and 575342007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575342041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9751531 + ... + 9751589.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2^575342040 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 575342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216000).

575342040 is an abundant number, since it is smaller than the sum of its proper divisors (1747089960).

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

575342040 is a wasteful number, since it uses less digits than its factorization.

575342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 575342040 is about 23986.2885832719. The cubic root of 575342040 is about 831.7166001927.

The spelling of 575342040 in words is "five hundred seventy-five million, three hundred forty-two thousand, forty".