264180040 has 32 divisors (see below), whose sum is σ = 594879480. Its totient is φ = 105587712.

The previous prime is 264180031. The next prime is 264180041. The reversal of 264180040 is 40081462.

It can be written as a sum of positive squares in 4 ways, for example, as 251349316 + 12830724 = 15854^2 + 3582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 264179987 and 264180014.

It is not an unprimeable number, because it can be changed into a prime (264180041) 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, 80512 + ... + 83728.

Almost surely, 2^264180040 is an apocalyptic number.

264180040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264180040 is an abundant number, since it is smaller than the sum of its proper divisors (330699440).

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

264180040 is a wasteful number, since it uses less digits than its factorization.

264180040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 264180040 is about 16253.6162130155. The cubic root of 264180040 is about 641.6526622756.

The spelling of 264180040 in words is "two hundred sixty-four million, one hundred eighty thousand, forty".