127949400 has 144 divisors (see below), whose sum is σ = 443751360. Its totient is φ = 33004800.

The previous prime is 127949389. The next prime is 127949411. The reversal of 127949400 is 4949721.

It is an interprime number because it is at equal distance from previous prime (127949389) and next prime (127949411).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54654 + ... + 56946.

Almost surely, 2^127949400 is an apocalyptic number.

127949400 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 127949400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221875680).

127949400 is an abundant number, since it is smaller than the sum of its proper divisors (315801960).

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

127949400 is a wasteful number, since it uses less digits than its factorization.

127949400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 127949400 is about 11311.4720527436. The cubic root of 127949400 is about 503.9020028667.

The spelling of 127949400 in words is "one hundred twenty-seven million, nine hundred forty-nine thousand, four hundred".