1253544240 has 160 divisors (see below), whose sum is σ = 4218230016. Its totient is φ = 306109440.

The previous prime is 1253544239. The next prime is 1253544307. The reversal of 1253544240 is 424453521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1253544198 and 1253544207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407187 + ... + 410253.

Almost surely, 2^1253544240 is an apocalyptic number.

1253544240 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 1253544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109115008).

1253544240 is an abundant number, since it is smaller than the sum of its proper divisors (2964685776).

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

1253544240 is a wasteful number, since it uses less digits than its factorization.

1253544240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 1253544240 is about 35405.4267026963. The cubic root of 1253544240 is about 1078.2344954282.

Adding to 1253544240 its reverse (424453521), we get a palindrome (1677997761).

The spelling of 1253544240 in words is "one billion, two hundred fifty-three million, five hundred forty-four thousand, two hundred forty".