301442904 has 192 divisors, whose sum is σ = 1026000000. Its totient is φ = 81539136.

The previous prime is 301442903. The next prime is 301442917. The reversal of 301442904 is 409244103.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301442903) 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 47 ways as a sum of consecutive naturals, for example, 200347 + ... + 201845.

It is an arithmetic number, because the mean of its divisors is an integer number (5343750).

Almost surely, 2^301442904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301442904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513000000).

301442904 is an abundant number, since it is smaller than the sum of its proper divisors (724557096).

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

301442904 is a wasteful number, since it uses less digits than its factorization.

301442904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 301442904 is about 17362.1111619526. Note that the first 4 decimals coincide. The cubic root of 301442904 is about 670.5044867549.

The spelling of 301442904 in words is "three hundred one million, four hundred forty-two thousand, nine hundred four".