1253584080 has 320 divisors, whose sum is σ = 5226094080. Its totient is φ = 269623296.

The previous prime is 1253584067. The next prime is 1253584103. The reversal of 1253584080 is 804853521.

It is a happy number.

1253584080 is a `hidden beast` number, since 1 + 2 + 535 + 8 + 40 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 254602 + ... + 259478.

It is an arithmetic number, because the mean of its divisors is an integer number (16331544).

Almost surely, 2^1253584080 is an apocalyptic number.

1253584080 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 1253584080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613047040).

1253584080 is an abundant number, since it is smaller than the sum of its proper divisors (3972510000).

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

1253584080 is a wasteful number, since it uses less digits than its factorization.

1253584080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4911 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1253584080 is about 35405.9893238418. The cubic root of 1253584080 is about 1078.2459180824.

The spelling of 1253584080 in words is "one billion, two hundred fifty-three million, five hundred eighty-four thousand, eighty".