1253354960 has 160 divisors (see below), whose sum is σ = 3464778240. Its totient is φ = 415641600.

The previous prime is 1253354933. The next prime is 1253354989. The reversal of 1253354960 is 694533521.

It is a congruent number.

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, 1017545 + ... + 1018775.

It is an arithmetic number, because the mean of its divisors is an integer number (21654864).

Almost surely, 2^1253354960 is an apocalyptic number.

1253354960 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 1253354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732389120).

1253354960 is an abundant number, since it is smaller than the sum of its proper divisors (2211423280).

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

1253354960 is a wasteful number, since it uses less digits than its factorization.

1253354960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 1253354960 is about 35402.7535652243. The cubic root of 1253354960 is about 1078.1802230455.

The spelling of 1253354960 in words is "one billion, two hundred fifty-three million, three hundred fifty-four thousand, nine hundred sixty".