1253450400 has 144 divisors (see below), whose sum is σ = 4121173728. Its totient is φ = 330880000.

The previous prime is 1253450381. The next prime is 1253450411. The reversal of 1253450400 is 40543521.

It is a super-2 number, since 2×1253450400² = 3142275810520320000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239815 + ... + 244985.

It is an arithmetic number, because the mean of its divisors is an integer number (28619262).

Almost surely, 2^1253450400 is an apocalyptic number.

1253450400 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 1253450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060586864).

1253450400 is an abundant number, since it is smaller than the sum of its proper divisors (2867723328).

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

1253450400 is a wasteful number, since it uses less digits than its factorization.

1253450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1253450400 is about 35404.1014573171. The cubic root of 1253450400 is about 1078.2075893043.

Adding to 1253450400 its reverse (40543521), we get a palindrome (1293993921).

The spelling of 1253450400 in words is "one billion, two hundred fifty-three million, four hundred fifty thousand, four hundred".