264010992400 has 135 divisors (see below), whose sum is σ = 663657250431. Its totient is φ = 100922469120.

The previous prime is 264010992361. The next prime is 264010992407. The reversal of 264010992400 is 4299010462.

It is a happy number.

The square root of 264010992400 is 513820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 113566304016 + 150444688384 = 336996^2 + 387872^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 264010992400.

It is not an unprimeable number, because it can be changed into a prime (264010992407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 236356642 + ... + 236357758.

Almost surely, 2^264010992400 is an apocalyptic number.

264010992400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

264010992400 is the 513820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264010992400

264010992400 is an abundant number, since it is smaller than the sum of its proper divisors (399646258031).

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

264010992400 is an equidigital number, since it uses as much as digits as its factorization.

264010992400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 264010992400 in words is "two hundred sixty-four billion, ten million, nine hundred ninety-two thousand, four hundred".