575261400 has 192 divisors, whose sum is σ = 2108793600. Its totient is φ = 126927360.

The previous prime is 575261377. The next prime is 575261411. The reversal of 575261400 is 4162575.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119439 + ... + 124161.

It is an arithmetic number, because the mean of its divisors is an integer number (10983300).

Almost surely, 2^575261400 is an apocalyptic number.

575261400 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 575261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054396800).

575261400 is an abundant number, since it is smaller than the sum of its proper divisors (1533532200).

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

575261400 is a wasteful number, since it uses less digits than its factorization.

575261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 575261400 is about 23984.6075640191. The cubic root of 575261400 is about 831.6777405488.

The spelling of 575261400 in words is "five hundred seventy-five million, two hundred sixty-one thousand, four hundred".