402242120 has 64 divisors (see below), whose sum is σ = 1038078720. Its totient is φ = 137412864.

The previous prime is 402242107. The next prime is 402242129. The reversal of 402242120 is 21242204.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (402242129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79589 + ... + 84491.

It is an arithmetic number, because the mean of its divisors is an integer number (16219980).

Almost surely, 2^402242120 is an apocalyptic number.

402242120 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 402242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519039360).

402242120 is an abundant number, since it is smaller than the sum of its proper divisors (635836600).

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

402242120 is a wasteful number, since it uses less digits than its factorization.

402242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 402242120 is about 20055.9746709054. The cubic root of 402242120 is about 738.1804089364.

Adding to 402242120 its reverse (21242204), we get a palindrome (423484324).

The spelling of 402242120 in words is "four hundred two million, two hundred forty-two thousand, one hundred twenty".