264400040 has 32 divisors (see below), whose sum is σ = 606129480. Its totient is φ = 103763712.

The previous prime is 264400033. The next prime is 264400049. The reversal of 264400040 is 40004462.

264400040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 261210244 + 3189796 = 16162^2 + 1786^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 264399985 and 264400021.

It is not an unprimeable number, because it can be changed into a prime (264400049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60239 + ... + 64478.

Almost surely, 2^264400040 is an apocalyptic number.

264400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264400040 is an abundant number, since it is smaller than the sum of its proper divisors (341729440).

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

264400040 is a wasteful number, since it uses less digits than its factorization.

264400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124781 (or 124777 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 264400040 is about 16260.3825293257. The cubic root of 264400040 is about 641.8307282371.

The spelling of 264400040 in words is "two hundred sixty-four million, four hundred thousand, forty".