264430040 has 32 divisors (see below), whose sum is σ = 679963680. Its totient is φ = 90661632.

The previous prime is 264430027. The next prime is 264430043. The reversal of 264430040 is 40034462.

It is a happy number.

264430040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 264429988 and 264430015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264430043) 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, 471917 + ... + 472476.

It is an arithmetic number, because the mean of its divisors is an integer number (21248865).

Almost surely, 2^264430040 is an apocalyptic number.

264430040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264430040 is an abundant number, since it is smaller than the sum of its proper divisors (415533640).

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

264430040 is a wasteful number, since it uses less digits than its factorization.

264430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944411 (or 944407 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 264430040 is about 16261.3049906826. The cubic root of 264430040 is about 641.8550023051.

The spelling of 264430040 in words is "two hundred sixty-four million, four hundred thirty thousand, forty".