414371140 has 48 divisors (see below), whose sum is σ = 924562800. Its totient is φ = 155699712.

The previous prime is 414371137. The next prime is 414371173. The reversal of 414371140 is 41173414.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 492804 + 413878336 = 702^2 + 20344^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11806 + ... + 31114.

It is an arithmetic number, because the mean of its divisors is an integer number (19261725).

Almost surely, 2^414371140 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 414371140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462281400).

414371140 is an abundant number, since it is smaller than the sum of its proper divisors (510191660).

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

414371140 is a wasteful number, since it uses less digits than its factorization.

414371140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19384 (or 19382 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 414371140 is about 20356.1081742066. The cubic root of 414371140 is about 745.5266399277.

The spelling of 414371140 in words is "four hundred fourteen million, three hundred seventy-one thousand, one hundred forty".