1253738304 has 672 divisors, whose sum is σ = 4961900160. Its totient is φ = 306561024.

The previous prime is 1253738273. The next prime is 1253738309. The reversal of 1253738304 is 4038373521.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253738309) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 18712479 + ... + 18712545.

It is an arithmetic number, because the mean of its divisors is an integer number (7383780).

Almost surely, 2^1253738304 is an apocalyptic number.

1253738304 is a gapful number since it is divisible by the number (14) 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 1253738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480950080).

1253738304 is an abundant number, since it is smaller than the sum of its proper divisors (3708161856).

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

1253738304 is a wasteful number, since it uses less digits than its factorization.

1253738304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1253738304 is about 35408.1671934598. The cubic root of 1253738304 is about 1078.2901338587.

The spelling of 1253738304 in words is "one billion, two hundred fifty-three million, seven hundred thirty-eight thousand, three hundred four".