264420460240 has 40 divisors (see below), whose sum is σ = 650940959880. Its totient is φ = 99546525696.

The previous prime is 264420460177. The next prime is 264420460321. The reversal of 264420460240 is 42064024462.

It can be written as a sum of positive squares in 4 ways, for example, as 18646448704 + 245774011536 = 136552^2 + 495756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 264420460196 and 264420460205.

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, 97212045 + ... + 97214764.

It is an arithmetic number, because the mean of its divisors is an integer number (16273523997).

Almost surely, 2^264420460240 is an apocalyptic number.

264420460240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264420460240 is an abundant number, since it is smaller than the sum of its proper divisors (386520499640).

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

264420460240 is a wasteful number, since it uses less digits than its factorization.

264420460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194426839 (or 194426833 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The spelling of 264420460240 in words is "two hundred sixty-four billion, four hundred twenty million, four hundred sixty thousand, two hundred forty".