127974400 has 66 divisors (see below), whose sum is σ = 317285000. Its totient is φ = 51179520.

The previous prime is 127974389. The next prime is 127974409. The reversal of 127974400 is 4479721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127974409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23101 + ... + 28099.

Almost surely, 2^127974400 is an apocalyptic number.

127974400 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 127974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158642500).

127974400 is an abundant number, since it is smaller than the sum of its proper divisors (189310600).

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

127974400 is an equidigital number, since it uses as much as digits as its factorization.

127974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 127974400 is about 11312.5770715607. The cubic root of 127974400 is about 503.9348198232.

The spelling of 127974400 in words is "one hundred twenty-seven million, nine hundred seventy-four thousand, four hundred".