407971344 has 120 divisors (see below), whose sum is σ = 1219748320. Its totient is φ = 117089280.

The previous prime is 407971337. The next prime is 407971349. The reversal of 407971344 is 443179704.

It is not an unprimeable number, because it can be changed into a prime (407971349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108504 + ... + 112200.

Almost surely, 2^407971344 is an apocalyptic number.

407971344 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 407971344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609874160).

407971344 is an abundant number, since it is smaller than the sum of its proper divisors (811776976).

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

407971344 is a wasteful number, since it uses less digits than its factorization.

407971344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 407971344 is about 20198.3005225687. The cubic root of 407971344 is about 741.6685892697.

The spelling of 407971344 in words is "four hundred seven million, nine hundred seventy-one thousand, three hundred forty-four".