128254400 has 84 divisors (see below), whose sum is σ = 320314320. Its totient is φ = 50534400.

The previous prime is 128254393. The next prime is 128254403. The reversal of 128254400 is 4452821.

It is a happy number.

It is a super-2 number, since 2×128254400² = 32898382238720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128254400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128254403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113036 + ... + 114164.

Almost surely, 2^128254400 is an apocalyptic number.

128254400 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 128254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160157160).

128254400 is an abundant number, since it is smaller than the sum of its proper divisors (192059920).

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

128254400 is a wasteful number, since it uses less digits than its factorization.

128254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 128254400 is about 11324.9459159856. The cubic root of 128254400 is about 504.3020780852.

The spelling of 128254400 in words is "one hundred twenty-eight million, two hundred fifty-four thousand, four hundred".