414109840 has 80 divisors (see below), whose sum is σ = 992186496. Its totient is φ = 160640000.

The previous prime is 414109837. The next prime is 414109847. The reversal of 414109840 is 48901414.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (414109847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823029 + ... + 823531.

Almost surely, 2^414109840 is an apocalyptic number.

414109840 is a gapful number since it is divisible by the number (40) 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 414109840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496093248).

414109840 is an abundant number, since it is smaller than the sum of its proper divisors (578076656).

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

414109840 is a wasteful number, since it uses less digits than its factorization.

414109840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 414109840 is about 20349.6889411116. The cubic root of 414109840 is about 745.3698987405.

The spelling of 414109840 in words is "four hundred fourteen million, one hundred nine thousand, eight hundred forty".