1253162400 has 288 divisors, whose sum is σ = 4715948160. Its totient is φ = 283115520.

The previous prime is 1253162399. The next prime is 1253162401. The reversal of 1253162400 is 42613521.

It is an interprime number because it is at equal distance from previous prime (1253162399) and next prime (1253162401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1253162401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1629216 + ... + 1629984.

It is an arithmetic number, because the mean of its divisors is an integer number (16374820).

Almost surely, 2^1253162400 is an apocalyptic number.

1253162400 is a gapful number since it is divisible by the number (10) 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 1253162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357974080).

1253162400 is an abundant number, since it is smaller than the sum of its proper divisors (3462785760).

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

1253162400 is a wasteful number, since it uses less digits than its factorization.

1253162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1253162400 is about 35400.0338982889. The cubic root of 1253162400 is about 1078.1250045789.

Adding to 1253162400 its reverse (42613521), we get a palindrome (1295775921).

The spelling of 1253162400 in words is "one billion, two hundred fifty-three million, one hundred sixty-two thousand, four hundred".