575078400 has 408 divisors, whose sum is σ = 2275392560. Its totient is φ = 141557760.

The previous prime is 575078347. The next prime is 575078401. The reversal of 575078400 is 4870575.

575078400 is a `hidden beast` number, since 575 + 0 + 7 + 84 + 0 + 0 = 666.

It is a super-2 number, since 2×575078400² = 661430332293120000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575078401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44236794 + ... + 44236806.

Almost surely, 2^575078400 is an apocalyptic number.

575078400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

575078400 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137696280).

575078400 is an abundant number, since it is smaller than the sum of its proper divisors (1700314160).

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

575078400 is an equidigital number, since it uses as much as digits as its factorization.

575078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 575078400 is about 23980.7923138498. The cubic root of 575078400 is about 831.5895411273.

The spelling of 575078400 in words is "five hundred seventy-five million, seventy-eight thousand, four hundred".