407364 has 24 divisors (see below), whose sum is σ = 964320. Its totient is φ = 133824.

The previous prime is 407359. The next prime is 407369. The reversal of 407364 is 463704.

It is an interprime number because it is at equal distance from previous prime (407359) and next prime (407369).

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407364.

It is not an unprimeable number, because it can be changed into a prime (407369) by changing a digit.

407364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 792 + ... + 1200.

It is an arithmetic number, because the mean of its divisors is an integer number (40180).

2⁴⁰⁷³⁶⁴ is an apocalyptic number.

It is an amenable number.

407364 is an abundant number, since it is smaller than the sum of its proper divisors (556956).

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

407364 is a wasteful number, since it uses less digits than its factorization.

407364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 407364 is about 638.2507344297. The cubic root of 407364 is about 74.1300367591.

The spelling of 407364 in words is "four hundred seven thousand, three hundred sixty-four".