264431840 has 48 divisors (see below), whose sum is σ = 636527808. Its totient is φ = 103773696.

The previous prime is 264431833. The next prime is 264431863. The reversal of 264431840 is 48134462.

264431840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 264431797 and 264431806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7112 + ... + 24071.

It is an arithmetic number, because the mean of its divisors is an integer number (13260996).

Almost surely, 2^264431840 is an apocalyptic number.

264431840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264431840 is an abundant number, since it is smaller than the sum of its proper divisors (372095968).

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

264431840 is a wasteful number, since it uses less digits than its factorization.

264431840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31251 (or 31243 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 264431840 is about 16261.3603367000. The cubic root of 264431840 is about 641.8564586908.

The spelling of 264431840 in words is "two hundred sixty-four million, four hundred thirty-one thousand, eight hundred forty".