1253413440 has 280 divisors, whose sum is σ = 4499457600. Its totient is φ = 332563968.

The previous prime is 1253413391. The next prime is 1253413459. The reversal of 1253413440 is 443143521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6298461 + ... + 6298659.

Almost surely, 2^1253413440 is an apocalyptic number.

1253413440 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 1253413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249728800).

1253413440 is an abundant number, since it is smaller than the sum of its proper divisors (3246044160).

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

1253413440 is an frugal number, since it uses more digits than its factorization.

1253413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1253413440 is about 35403.5794800469. The cubic root of 1253413440 is about 1078.1969916388.

Adding to 1253413440 its reverse (443143521), we get a palindrome (1696556961).

The spelling of 1253413440 in words is "one billion, two hundred fifty-three million, four hundred thirteen thousand, four hundred forty".