264471840 has 72 divisors (see below), whose sum is σ = 902515068. Its totient is φ = 70525440.

The previous prime is 264471829. The next prime is 264471859. The reversal of 264471840 is 48174462.

264471840 is a `hidden beast` number, since 2 + 644 + 7 + 1 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 261274896 + 3196944 = 16164^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 264471795 and 264471804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90391 + ... + 93270.

Almost surely, 2^264471840 is an apocalyptic number.

264471840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264471840 is an abundant number, since it is smaller than the sum of its proper divisors (638043228).

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

264471840 is a wasteful number, since it uses less digits than its factorization.

264471840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183682 (or 183671 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 264471840 is about 16262.5901995961. The cubic root of 264471840 is about 641.8888211121. Note that the first 4 decimals are identical.

The spelling of 264471840 in words is "two hundred sixty-four million, four hundred seventy-one thousand, eight hundred forty".