264203040 has 96 divisors (see below), whose sum is σ = 839776896. Its totient is φ = 69816320.

The previous prime is 264203033. The next prime is 264203063. The reversal of 264203040 is 40302462.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 264202998 and 264203016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51805 + ... + 56675.

It is an arithmetic number, because the mean of its divisors is an integer number (8747676).

Almost surely, 2^264203040 is an apocalyptic number.

264203040 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 264203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419888448).

264203040 is an abundant number, since it is smaller than the sum of its proper divisors (575573856).

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

264203040 is a wasteful number, since it uses less digits than its factorization.

264203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 264203040 is about 16254.3237324719. The cubic root of 264203040 is about 641.6712828888.

The spelling of 264203040 in words is "two hundred sixty-four million, two hundred three thousand, forty".