264006432 has 48 divisors (see below), whose sum is σ = 770021280. Its totient is φ = 88001856.

The previous prime is 264006427. The next prime is 264006439. The reversal of 264006432 is 234600462.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×264006432² = 139398792274741248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 264006396 and 264006405.

It is not an unprimeable number, because it can be changed into a prime (264006439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151918 + ... + 153645.

It is an arithmetic number, because the mean of its divisors is an integer number (16042110).

Almost surely, 2^264006432 is an apocalyptic number.

It is an amenable number.

264006432 is an abundant number, since it is smaller than the sum of its proper divisors (506014848).

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

264006432 is a wasteful number, since it uses less digits than its factorization.

264006432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305582 (or 305568 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 264006432 is about 16248.2747391838. The cubic root of 264006432 is about 641.5120757702.

Adding to 264006432 its reverse (234600462), we get a palindrome (498606894).

The spelling of 264006432 in words is "two hundred sixty-four million, six thousand, four hundred thirty-two".