364496 has 40 divisors (see below), whose sum is σ = 818400. Its totient is φ = 155520.

The previous prime is 364471. The next prime is 364499. The reversal of 364496 is 694463.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364496.

It is not an unprimeable number, because it can be changed into a prime (364499) by changing a digit.

364496 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, 3290 + ... + 3398.

It is an arithmetic number, because the mean of its divisors is an integer number (20460).

364496 is a Friedman number, since it can be written as (9+6*6)^3*4-4, using all its digits and the basic arithmetic operations.

2³⁶⁴⁴⁹⁶ 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 364496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409200).

364496 is an abundant number, since it is smaller than the sum of its proper divisors (453904).

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

364496 is a wasteful number, since it uses less digits than its factorization.

364496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 364496 is about 603.7350412226. The cubic root of 364496 is about 71.4327860370.

The spelling of 364496 in words is "three hundred sixty-four thousand, four hundred ninety-six".