1253224040 has 128 divisors (see below), whose sum is σ = 3125606400. Its totient is φ = 450385920.

The previous prime is 1253224039. The next prime is 1253224057. The reversal of 1253224040 is 404223521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1253223997 and 1253224015.

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, 1152377 + ... + 1153463.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 2^1253224040 is an apocalyptic number.

1253224040 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 1253224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562803200).

1253224040 is an abundant number, since it is smaller than the sum of its proper divisors (1872382360).

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

1253224040 is a wasteful number, since it uses less digits than its factorization.

1253224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 1253224040 is about 35400.9045082184. The cubic root of 1253224040 is about 1078.1426810683.

Adding to 1253224040 its reverse (404223521), we get a palindrome (1657447561).

The spelling of 1253224040 in words is "one billion, two hundred fifty-three million, two hundred twenty-four thousand, forty".