264938040 has 192 divisors, whose sum is σ = 905355360. Its totient is φ = 69672960.

The previous prime is 264938039. The next prime is 264938087. The reversal of 264938040 is 40839462.

264938040 = T₁₉₉ + T₂₀₀ + ... + T₁₁₆₈.

It is a happy number.

264938040 is a `hidden beast` number, since 2 + 649 + 3 + 8 + 0 + 4 + 0 = 666.

264938040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 264937986 and 264938004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942700 + ... + 942980.

Almost surely, 2^264938040 is an apocalyptic number.

264938040 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 264938040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452677680).

264938040 is an abundant number, since it is smaller than the sum of its proper divisors (640417320).

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

264938040 is a wasteful number, since it uses less digits than its factorization.

264938040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 264938040 is about 16276.9173985740. The cubic root of 264938040 is about 642.2657647168.

The spelling of 264938040 in words is "two hundred sixty-four million, nine hundred thirty-eight thousand, forty".