264208428 has 72 divisors (see below), whose sum is σ = 746390736. Its totient is φ = 78105600.

The previous prime is 264208423. The next prime is 264208447. The reversal of 264208428 is 824802462.

It is a happy number.

264208428 is a `hidden beast` number, since 2 + 642 + 0 + 8 + 4 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 264208392 and 264208401.

It is not an unprimeable number, because it can be changed into a prime (264208423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8100 + ... + 24372.

It is an arithmetic number, because the mean of its divisors is an integer number (10366538).

Almost surely, 2^264208428 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 264208428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373195368).

264208428 is an abundant number, since it is smaller than the sum of its proper divisors (482182308).

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

264208428 is a wasteful number, since it uses less digits than its factorization.

264208428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16335 (or 16330 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 264208428 is about 16254.4894721428. The cubic root of 264208428 is about 641.6756448136.

The spelling of 264208428 in words is "two hundred sixty-four million, two hundred eight thousand, four hundred twenty-eight".