16414240 has 48 divisors (see below), whose sum is σ = 39068568. Its totient is φ = 6516736.

The previous prime is 16414219. The next prime is 16414241. The reversal of 16414240 is 4241461.

16414240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15968016 + 446224 = 3996^2 + 668^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16414241) 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, 27384 + ... + 27976.

Almost surely, 2^16414240 is an apocalyptic number.

16414240 is a gapful number since it is divisible by the number (10) 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 16414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19534284).

16414240 is an abundant number, since it is smaller than the sum of its proper divisors (22654328).

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

16414240 is a wasteful number, since it uses less digits than its factorization.

16414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 16414240 is about 4051.4491234619. The cubic root of 16414240 is about 254.1403320680.

The spelling of 16414240 in words is "sixteen million, four hundred fourteen thousand, two hundred forty".