414399744 has 216 divisors, whose sum is σ = 1325836512. Its totient is φ = 123432960.

The previous prime is 414399743. The next prime is 414399749. The reversal of 414399744 is 447993414.

It is a self number, because there is not a number n which added to its sum of digits gives 414399744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414399743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2103454 + ... + 2103650.

It is an arithmetic number, because the mean of its divisors is an integer number (6138132).

Almost surely, 2^414399744 is an apocalyptic number.

414399744 is a gapful number since it is divisible by the number (44) 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 414399744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662918256).

414399744 is an abundant number, since it is smaller than the sum of its proper divisors (911436768).

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

414399744 is a wasteful number, since it uses less digits than its factorization.

414399744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 414399744 is about 20356.8107521782. The cubic root of 414399744 is about 745.5437940771.

The spelling of 414399744 in words is "four hundred fourteen million, three hundred ninety-nine thousand, seven hundred forty-four".