264420 has 72 divisors (see below), whose sum is σ = 871416. Its totient is φ = 64512.

The previous prime is 264403. The next prime is 264437. The reversal of 264420 is 24462.

264420 is a `hidden beast` number, since 2 + 644 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (264403) and next prime (264437).

It can be written as a sum of positive squares in 4 ways, for example, as 10404 + 254016 = 102^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2⁷ + 6² + 4³ + 4⁹ + 2¹¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 264393 and 264402.

It is an unprimeable number.

264420 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 23 ways as a sum of consecutive naturals, for example, 2284 + ... + 2396.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2²⁶⁴⁴²⁰ is an apocalyptic number.

264420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435708).

264420 is an abundant number, since it is smaller than the sum of its proper divisors (606996).

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

264420 is a wasteful number, since it uses less digits than its factorization.

264420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 264420 is about 514.2178526656. The cubic root of 264420 is about 64.1846878788.

Adding to 264420 its reverse (24462), we get a palindrome (288882).

The spelling of 264420 in words is "two hundred sixty-four thousand, four hundred twenty".