253114400 has 216 divisors, whose sum is σ = 785480976. Its totient is φ = 78758400.

The previous prime is 253114399. The next prime is 253114423. The reversal of 253114400 is 4411352.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 430907 + ... + 431493.

It is an arithmetic number, because the mean of its divisors is an integer number (3636486).

Almost surely, 2^253114400 is an apocalyptic number.

253114400 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 253114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392740488).

253114400 is an abundant number, since it is smaller than the sum of its proper divisors (532366576).

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

253114400 is a wasteful number, since it uses less digits than its factorization.

253114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 253114400 is about 15909.5694473483. The cubic root of 253114400 is about 632.5656688419.

Adding to 253114400 its reverse (4411352), we get a palindrome (257525752).

The spelling of 253114400 in words is "two hundred fifty-three million, one hundred fourteen thousand, four hundred".