414243840 has 176 divisors, whose sum is σ = 1341194400. Its totient is φ = 109117440.

The previous prime is 414243761. The next prime is 414243857. The reversal of 414243840 is 48342414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 414243798 and 414243807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2288550 + ... + 2288730.

Almost surely, 2^414243840 is an apocalyptic number.

414243840 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 414243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670597200).

414243840 is an abundant number, since it is smaller than the sum of its proper divisors (926950560).

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

414243840 is a wasteful number, since it uses less digits than its factorization.

414243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 414243840 is about 20352.9811084273. The cubic root of 414243840 is about 745.4502870703.

The spelling of 414243840 in words is "four hundred fourteen million, two hundred forty-three thousand, eight hundred forty".