301484961 has 24 divisors (see below), whose sum is σ = 440294400. Its totient is φ = 198780576.

The previous prime is 301484959. The next prime is 301484971. The reversal of 301484961 is 169484103.

It is not a de Polignac number, because 301484961 - 2¹ = 301484959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (301484921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513310 + ... + 513896.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 2^301484961 is an apocalyptic number.

It is an amenable number.

301484961 is a deficient number, since it is larger than the sum of its proper divisors (138809439).

301484961 is a wasteful number, since it uses less digits than its factorization.

301484961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 301484961 is about 17363.3222915432. The cubic root of 301484961 is about 670.5356680007.

The spelling of 301484961 in words is "three hundred one million, four hundred eighty-four thousand, nine hundred sixty-one".