127450400 has 144 divisors (see below), whose sum is σ = 388100160. Its totient is φ = 39705600.

The previous prime is 127450399. The next prime is 127450471. The reversal of 127450400 is 4054721.

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 23 ways as a sum of consecutive naturals, for example, 60566 + ... + 62634.

It is an arithmetic number, because the mean of its divisors is an integer number (2695140).

Almost surely, 2^127450400 is an apocalyptic number.

127450400 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 127450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194050080).

127450400 is an abundant number, since it is smaller than the sum of its proper divisors (260649760).

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

127450400 is a wasteful number, since it uses less digits than its factorization.

127450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 127450400 is about 11289.3932520752. The cubic root of 127450400 is about 503.2460803197.

The spelling of 127450400 in words is "one hundred twenty-seven million, four hundred fifty thousand, four hundred".