253575400 has 96 divisors (see below), whose sum is σ = 672378840. Its totient is φ = 88104960.

The previous prime is 253575359. The next prime is 253575401. The reversal of 253575400 is 4575352.

253575400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5134756 + 248440644 = 2266^2 + 15762^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253575401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 41332 + ... + 47068.

Almost surely, 2^253575400 is an apocalyptic number.

253575400 is a gapful number since it is divisible by the number (20) 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 253575400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336189420).

253575400 is an abundant number, since it is smaller than the sum of its proper divisors (418803440).

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

253575400 is a wasteful number, since it uses less digits than its factorization.

253575400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 31.

The square root of 253575400 is about 15924.0509921314. The cubic root of 253575400 is about 632.9494688326.

The spelling of 253575400 in words is "two hundred fifty-three million, five hundred seventy-five thousand, four hundred".