264390 has 32 divisors (see below), whose sum is σ = 725760. Its totient is φ = 60384.

The previous prime is 264371. The next prime is 264391. The reversal of 264390 is 93462.

264390 = T₁₀₅ + T₁₀₆ + ... + T₁₃₉.

It is a d-powerful number, because it can be written as 2¹¹ + 6² + 3⁴ + 4⁹ + 9² + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 264390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264391) by changing a digit.

264390 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 15 ways as a sum of consecutive naturals, for example, 420 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2²⁶⁴³⁹⁰ is an apocalyptic number.

264390 is the 420-th pentagonal number.

264390 is an abundant number, since it is smaller than the sum of its proper divisors (461370).

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

264390 is a wasteful number, since it uses less digits than its factorization.

264390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 264390 is about 514.1886813223. The cubic root of 264390 is about 64.1822604106.

The spelling of 264390 in words is "two hundred sixty-four thousand, three hundred ninety".