264349440 has 144 divisors (see below), whose sum is σ = 938196000. Its totient is φ = 70483968.

The previous prime is 264349433. The next prime is 264349447. The reversal of 264349440 is 44943462.

264349440 is a `hidden beast` number, since 2 + 643 + 4 + 9 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (264349433) and next prime (264349447).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 264349395 and 264349404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264349447) 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, 30736 + ... + 38384.

It is an arithmetic number, because the mean of its divisors is an integer number (6515250).

Almost surely, 2^264349440 is an apocalyptic number.

264349440 is a gapful number since it is divisible by the number (20) 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 264349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469098000).

264349440 is an abundant number, since it is smaller than the sum of its proper divisors (673846560).

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

264349440 is an equidigital number, since it uses as much as digits as its factorization.

264349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7679 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 264349440 is about 16258.8265259212. The cubic root of 264349440 is about 641.7897818151.

The spelling of 264349440 in words is "two hundred sixty-four million, three hundred forty-nine thousand, four hundred forty".