407364361 has 8 divisors (see below), whose sum is σ = 410673600. Its totient is φ = 404063088.

The previous prime is 407364341. The next prime is 407364367. The reversal of 407364361 is 163463704.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 407364361 - 2⁵ = 407364329 is a prime.

It is a super-2 number, since 2×407364361² = 331891445225876642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407364367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139660 + ... + 142546.

It is an arithmetic number, because the mean of its divisors is an integer number (51334200).

Almost surely, 2^407364361 is an apocalyptic number.

It is an amenable number.

407364361 is a deficient number, since it is larger than the sum of its proper divisors (3309239).

407364361 is a wasteful number, since it uses less digits than its factorization.

407364361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983.

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 407364361 is about 20183.2693337824. The cubic root of 407364361 is about 741.3005865678.

It can be divided in two parts, 4073643 and 61, that added together give a palindrome (4073704).

The spelling of 407364361 in words is "four hundred seven million, three hundred sixty-four thousand, three hundred sixty-one".