264189420 has 288 divisors, whose sum is σ = 934053120. Its totient is φ = 59834880.

The previous prime is 264189323. The next prime is 264189427. The reversal of 264189420 is 24981462.

264189420 is a `hidden beast` number, since 2 + 641 + 8 + 9 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (264189427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2469007 + ... + 2469113.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2^264189420 is an apocalyptic number.

264189420 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 264189420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467026560).

264189420 is an abundant number, since it is smaller than the sum of its proper divisors (669863700).

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

264189420 is a wasteful number, since it uses less digits than its factorization.

264189420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 264189420 is about 16253.9047616257. The cubic root of 264189420 is about 641.6602563779.

The spelling of 264189420 in words is "two hundred sixty-four million, one hundred eighty-nine thousand, four hundred twenty".