264510040 has 64 divisors (see below), whose sum is σ = 614259360. Its totient is φ = 102435840.

The previous prime is 264510017. The next prime is 264510041. The reversal of 264510040 is 40015462.

It is a super-2 number, since 2×264510040² = 139931122521603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264509993 and 264510020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264510041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462955 + ... + 463525.

Almost surely, 2^264510040 is an apocalyptic number.

264510040 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 264510040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307129680).

264510040 is an abundant number, since it is smaller than the sum of its proper divisors (349749320).

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

264510040 is a wasteful number, since it uses less digits than its factorization.

264510040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 264510040 is about 16263.7646318434. The cubic root of 264510040 is about 641.9197241785.

The spelling of 264510040 in words is "two hundred sixty-four million, five hundred ten thousand, forty".