414013440 has 96 divisors (see below), whose sum is σ = 1324617840. Its totient is φ = 110395392.

The previous prime is 414013429. The next prime is 414013469. The reversal of 414013440 is 44310414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23982 + ... + 37458.

Almost surely, 2^414013440 is an apocalyptic number.

414013440 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 414013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662308920).

414013440 is an abundant number, since it is smaller than the sum of its proper divisors (910604400).

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

414013440 is a wasteful number, since it uses less digits than its factorization.

414013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13507 (or 13487 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414013440 is about 20347.3202166772. The cubic root of 414013440 is about 745.3120564101.

Adding to 414013440 its reverse (44310414), we get a palindrome (458323854).

The spelling of 414013440 in words is "four hundred fourteen million, thirteen thousand, four hundred forty".