127406400 has 336 divisors, whose sum is σ = 483778560. Its totient is φ = 29030400.

The previous prime is 127406387. The next prime is 127406413. The reversal of 127406400 is 4604721.

It is an interprime number because it is at equal distance from previous prime (127406387) and next prime (127406413).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003137 + ... + 1003263.

Almost surely, 2^127406400 is an apocalyptic number.

127406400 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 127406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241889280).

127406400 is an abundant number, since it is smaller than the sum of its proper divisors (356372160).

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

127406400 is a wasteful number, since it uses less digits than its factorization.

127406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 127406400 is about 11287.4443520223. Note that the first 3 decimals coincide. The cubic root of 127406400 is about 503.1881613798.

The spelling of 127406400 in words is "one hundred twenty-seven million, four hundred six thousand, four hundred".