364461125 has 64 divisors (see below), whose sum is σ = 549918720. Its totient is φ = 235872000.

The previous prime is 364461109. The next prime is 364461133. The reversal of 364461125 is 521164463.

It is not a de Polignac number, because 364461125 - 2⁴ = 364461109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 364461091 and 364461100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1344740 + ... + 1345010.

It is an arithmetic number, because the mean of its divisors is an integer number (8592480).

Almost surely, 2^364461125 is an apocalyptic number.

364461125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

364461125 is a deficient number, since it is larger than the sum of its proper divisors (185457595).

364461125 is a wasteful number, since it uses less digits than its factorization.

364461125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 364461125 is about 19090.8649620702. The cubic root of 364461125 is about 714.3050773322.

The spelling of 364461125 in words is "three hundred sixty-four million, four hundred sixty-one thousand, one hundred twenty-five".