302400042 has 64 divisors (see below), whose sum is σ = 704471040. Its totient is φ = 84757824.

The previous prime is 302400041. The next prime is 302400047. The reversal of 302400042 is 240004203.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 302399994 and 302400030.

It is not an unprimeable number, because it can be changed into a prime (302400041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777184 + ... + 777572.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2^302400042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302400042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

302400042 is an abundant number, since it is smaller than the sum of its proper divisors (402070998).

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

302400042 is a wasteful number, since it uses less digits than its factorization.

302400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707.

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 302400042 is about 17389.6533030420. The cubic root of 302400042 is about 671.2133963235.

Adding to 302400042 its reverse (240004203), we get a palindrome (542404245).

The spelling of 302400042 in words is "three hundred two million, four hundred thousand, forty-two".