1253657328 has 160 divisors (see below), whose sum is σ = 4136735232. Its totient is φ = 317644800.

The previous prime is 1253657323. The next prime is 1253657351. The reversal of 1253657328 is 8237563521.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1253657328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253657323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147400 + ... + 155672.

Almost surely, 2^1253657328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253657328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068367616).

1253657328 is an abundant number, since it is smaller than the sum of its proper divisors (2883077904).

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

1253657328 is a wasteful number, since it uses less digits than its factorization.

1253657328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343 (or 8337 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 1253657328 is about 35407.0237099929. The cubic root of 1253657328 is about 1078.2669186200.

The spelling of 1253657328 in words is "one billion, two hundred fifty-three million, six hundred fifty-seven thousand, three hundred twenty-eight".