253200460 has 48 divisors (see below), whose sum is σ = 564933600. Its totient is φ = 95053824.

The previous prime is 253200457. The next prime is 253200463. The reversal of 253200460 is 64002352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253200457) and next prime (253200463).

It is a super-2 number, since 2×253200460² = 128220945888423200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253200463) 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 15 ways as a sum of consecutive naturals, for example, 38364 + ... + 44476.

It is an arithmetic number, because the mean of its divisors is an integer number (11769450).

Almost surely, 2^253200460 is an apocalyptic number.

253200460 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 253200460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282466800).

253200460 is an abundant number, since it is smaller than the sum of its proper divisors (311733140).

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

253200460 is a wasteful number, since it uses less digits than its factorization.

253200460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 253200460 is about 15912.2738789904. The cubic root of 253200460 is about 632.6373524138.

The spelling of 253200460 in words is "two hundred fifty-three million, two hundred thousand, four hundred sixty".