371414080 has 56 divisors (see below), whose sum is σ = 906033240. Its totient is φ = 144936960.

The previous prime is 371414053. The next prime is 371414083. The reversal of 371414080 is 80414173.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 371409984 = 64^2 + 19272^2 .

It is not an unprimeable number, because it can be changed into a prime (371414083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1035 + ... + 27274.

It is an arithmetic number, because the mean of its divisors is an integer number (16179165).

Almost surely, 2^371414080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 371414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453016620).

371414080 is an abundant number, since it is smaller than the sum of its proper divisors (534619160).

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

371414080 is a wasteful number, since it uses less digits than its factorization.

371414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28367 (or 28357 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 371414080 is about 19272.1062678681. The cubic root of 371414080 is about 718.8188452769.

The spelling of 371414080 in words is "three hundred seventy-one million, four hundred fourteen thousand, eighty".