414842076 has 144 divisors (see below), whose sum is σ = 1226953728. Its totient is φ = 116899200.

The previous prime is 414842017. The next prime is 414842081. The reversal of 414842076 is 670248414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 414842076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336381 + ... + 337611.

It is an arithmetic number, because the mean of its divisors is an integer number (8520512).

Almost surely, 2^414842076 is an apocalyptic number.

414842076 is a gapful number since it is divisible by the number (46) 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 414842076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613476864).

414842076 is an abundant number, since it is smaller than the sum of its proper divisors (812111652).

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

414842076 is a wasteful number, since it uses less digits than its factorization.

414842076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 414842076 is about 20367.6723265080. The cubic root of 414842076 is about 745.8089652605.

The spelling of 414842076 in words is "four hundred fourteen million, eight hundred forty-two thousand, seventy-six".