1253223972 has 288 divisors, whose sum is σ = 4314885120. Its totient is φ = 296144640.

The previous prime is 1253223967. The next prime is 1253223973. The reversal of 1253223972 is 2793223521.

It is a happy number.

1253223972 is a `hidden beast` number, since 12 + 532 + 23 + 97 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1253223973) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2990779 + ... + 2991197.

It is an arithmetic number, because the mean of its divisors is an integer number (14982240).

Almost surely, 2^1253223972 is an apocalyptic number.

1253223972 is a gapful number since it is divisible by the number (12) 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 1253223972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157442560).

1253223972 is an abundant number, since it is smaller than the sum of its proper divisors (3061661148).

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

1253223972 is a wasteful number, since it uses less digits than its factorization.

1253223972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 538 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 1253223972 is about 35400.9035477910. The cubic root of 1253223972 is about 1078.1426615683.

The spelling of 1253223972 in words is "one billion, two hundred fifty-three million, two hundred twenty-three thousand, nine hundred seventy-two".