424241406 has 48 divisors (see below), whose sum is σ = 956039760. Its totient is φ = 135797760.

The previous prime is 424241383. The next prime is 424241449. The reversal of 424241406 is 604142424.

It is a happy number.

424241406 is a `hidden beast` number, since 4 + 242 + 414 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 424241406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98641 + ... + 102851.

It is an arithmetic number, because the mean of its divisors is an integer number (19917495).

Almost surely, 2^424241406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424241406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478019880).

424241406 is an abundant number, since it is smaller than the sum of its proper divisors (531798354).

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

424241406 is a wasteful number, since it uses less digits than its factorization.

424241406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 424241406 is about 20597.1213037162. The cubic root of 424241406 is about 751.3997008251.

The spelling of 424241406 in words is "four hundred twenty-four million, two hundred forty-one thousand, four hundred six".