364950 has 36 divisors (see below), whose sum is σ = 981708. Its totient is φ = 97200.

The previous prime is 364943. The next prime is 364961. The reversal of 364950 is 59463.

364950 = 103² + 104² + ... + 129².

It is a happy number.

364950 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

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 364950.

It is an unprimeable number.

364950 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 17 ways as a sum of consecutive naturals, for example, 45 + ... + 855.

2³⁶⁴⁹⁵⁰ is an apocalyptic number.

364950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 364950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490854).

364950 is an abundant number, since it is smaller than the sum of its proper divisors (616758).

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

364950 is a wasteful number, since it uses less digits than its factorization.

364950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 364950 is about 604.1109169681. The cubic root of 364950 is about 71.4624315654.

The spelling of 364950 in words is "three hundred sixty-four thousand, nine hundred fifty".