1254448160 has 96 divisors (see below), whose sum is σ = 3400330752. Its totient is φ = 428405760.

The previous prime is 1254448141. The next prime is 1254448183. The reversal of 1254448160 is 618444521.

It is a super-2 number, since 2×1254448160² = 3147280372254771200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1254448160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301454 + ... + 305586.

It is an arithmetic number, because the mean of its divisors is an integer number (35420112).

Almost surely, 2^1254448160 is an apocalyptic number.

1254448160 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 1254448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700165376).

1254448160 is an abundant number, since it is smaller than the sum of its proper divisors (2145882592).

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

1254448160 is a wasteful number, since it uses less digits than its factorization.

1254448160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 1254448160 is about 35418.1896770572. The cubic root of 1254448160 is about 1078.4936017073.

The spelling of 1254448160 in words is "one billion, two hundred fifty-four million, four hundred forty-eight thousand, one hundred sixty".