1253053440 has 264 divisors, whose sum is σ = 4414445568. Its totient is φ = 328581120.

The previous prime is 1253053423. The next prime is 1253053441. The reversal of 1253053440 is 443503521.

1253053440 is a `hidden beast` number, since 12 + 5 + 305 + 344 + 0 = 666.

It is a super-3 number, since 3×1253053440³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253053441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3271489 + ... + 3271871.

Almost surely, 2^1253053440 is an apocalyptic number.

1253053440 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 1253053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207222784).

1253053440 is an abundant number, since it is smaller than the sum of its proper divisors (3161392128).

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

1253053440 is a wasteful number, since it uses less digits than its factorization.

1253053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1253053440 is about 35398.4948832574. The cubic root of 1253053440 is about 1078.0937567254.

Adding to 1253053440 its reverse (443503521), we get a palindrome (1696556961).

The spelling of 1253053440 in words is "one billion, two hundred fifty-three million, fifty-three thousand, four hundred forty".