301402000 has 80 divisors (see below), whose sum is σ = 748670832. Its totient is φ = 117273600.

The previous prime is 301401949. The next prime is 301402001. The reversal of 301402000 is 204103.

It can be written as a sum of positive squares in 8 ways, for example, as 97140736 + 204261264 = 9856^2 + 14292^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (301402001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71964 + ... + 76036.

Almost surely, 2^301402000 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 301402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374335416).

301402000 is an abundant number, since it is smaller than the sum of its proper divisors (447268832).

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

301402000 is a wasteful number, since it uses less digits than its factorization.

301402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 301402000 is about 17360.9331546435. The cubic root of 301402000 is about 670.4741575662.

Adding to 301402000 its reverse (204103), we get a palindrome (301606103).

The spelling of 301402000 in words is "three hundred one million, four hundred two thousand".