127440432 has 320 divisors, whose sum is σ = 461399040. Its totient is φ = 32845824.

The previous prime is 127440431. The next prime is 127440437. The reversal of 127440432 is 234044721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 127440396 and 127440405.

It is not an unprimeable number, because it can be changed into a prime (127440431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1902063 + ... + 1902129.

It is an arithmetic number, because the mean of its divisors is an integer number (1441872).

Almost surely, 2^127440432 is an apocalyptic number.

127440432 is a gapful number since it is divisible by the number (12) 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 127440432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230699520).

127440432 is an abundant number, since it is smaller than the sum of its proper divisors (333958608).

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

127440432 is a wasteful number, since it uses less digits than its factorization.

127440432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 127440432 is about 11288.9517671040. The cubic root of 127440432 is about 503.2329602152.

The spelling of 127440432 in words is "one hundred twenty-seven million, four hundred forty thousand, four hundred thirty-two".