1253898240 has 480 divisors, whose sum is σ = 4955081040. Its totient is φ = 269746176.

The previous prime is 1253898229. The next prime is 1253898251. The reversal of 1253898240 is 428983521.

It is an interprime number because it is at equal distance from previous prime (1253898229) and next prime (1253898251).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1253898192 and 1253898201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73758712 + ... + 73758728.

Almost surely, 2^1253898240 is an apocalyptic number.

1253898240 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 1253898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477540520).

1253898240 is an abundant number, since it is smaller than the sum of its proper divisors (3701182800).

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

1253898240 is an frugal number, since it uses more digits than its factorization.

1253898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1253898240 is about 35410.4255834352. The cubic root of 1253898240 is about 1078.3359834264.

The spelling of 1253898240 in words is "one billion, two hundred fifty-three million, eight hundred ninety-eight thousand, two hundred forty".