264464040 has 128 divisors (see below), whose sum is σ = 840873600. Its totient is φ = 66355200.

The previous prime is 264464027. The next prime is 264464047. The reversal of 264464040 is 40464462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264463989 and 264464007.

It is not an unprimeable number, because it can be changed into a prime (264464047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439740 + ... + 440340.

It is an arithmetic number, because the mean of its divisors is an integer number (6569325).

Almost surely, 2^264464040 is an apocalyptic number.

264464040 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 264464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420436800).

264464040 is an abundant number, since it is smaller than the sum of its proper divisors (576409560).

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

264464040 is a wasteful number, since it uses less digits than its factorization.

264464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 264464040 is about 16262.3503836315. The cubic root of 264464040 is about 641.8825106961.

The spelling of 264464040 in words is "two hundred sixty-four million, four hundred sixty-four thousand, forty".