264433440 has 48 divisors (see below), whose sum is σ = 832966848. Its totient is φ = 70515456.

The previous prime is 264433423. The next prime is 264433459. The reversal of 264433440 is 44334462.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264433398 and 264433407.

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, 274972 + ... + 275931.

It is an arithmetic number, because the mean of its divisors is an integer number (17353476).

Almost surely, 2^264433440 is an apocalyptic number.

264433440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264433440 is an abundant number, since it is smaller than the sum of its proper divisors (568533408).

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

264433440 is a wasteful number, since it uses less digits than its factorization.

264433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550921 (or 550913 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 264433440 is about 16261.4095330017. The cubic root of 264433440 is about 641.8577532503.

The spelling of 264433440 in words is "two hundred sixty-four million, four hundred thirty-three thousand, four hundred forty".