264498432 has 144 divisors (see below), whose sum is σ = 777047040. Its totient is φ = 79206400.

The previous prime is 264498431. The next prime is 264498457. The reversal of 264498432 is 234894462.

264498432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264498431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1106569 + ... + 1106807.

It is an arithmetic number, because the mean of its divisors is an integer number (5396160).

Almost surely, 2^264498432 is an apocalyptic number.

264498432 is a gapful number since it is divisible by the number (22) 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 264498432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388523520).

264498432 is an abundant number, since it is smaller than the sum of its proper divisors (512548608).

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

264498432 is a wasteful number, since it uses less digits than its factorization.

264498432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 386 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 264498432 is about 16263.4077609829. The cubic root of 264498432 is about 641.9103338442.

The spelling of 264498432 in words is "two hundred sixty-four million, four hundred ninety-eight thousand, four hundred thirty-two".