407127644 has 96 divisors (see below), whose sum is σ = 914833920. Its totient is φ = 153964800.

The previous prime is 407127641. The next prime is 407127653. The reversal of 407127644 is 446721704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407127641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2249234 + ... + 2249414.

It is an arithmetic number, because the mean of its divisors is an integer number (9529520).

Almost surely, 2^407127644 is an apocalyptic number.

407127644 is a gapful number since it is divisible by the number (44) 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 407127644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457416960).

407127644 is an abundant number, since it is smaller than the sum of its proper divisors (507706276).

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

407127644 is a wasteful number, since it uses less digits than its factorization.

407127644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 407127644 is about 20177.4042929213. The cubic root of 407127644 is about 741.1569702965.

The spelling of 407127644 in words is "four hundred seven million, one hundred twenty-seven thousand, six hundred forty-four".