264607380 has 144 divisors (see below), whose sum is σ = 870053184. Its totient is φ = 64834560.

The previous prime is 264607379. The next prime is 264607391. The reversal of 264607380 is 83706462.

264607380 is a `hidden beast` number, since 2 + 646 + 0 + 7 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130575 + ... + 132585.

It is an arithmetic number, because the mean of its divisors is an integer number (6042036).

Almost surely, 2^264607380 is an apocalyptic number.

264607380 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 264607380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435026592).

264607380 is an abundant number, since it is smaller than the sum of its proper divisors (605445804).

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

264607380 is a wasteful number, since it uses less digits than its factorization.

264607380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 264607380 is about 16266.7568986568. The cubic root of 264607380 is about 641.9984569212.

The spelling of 264607380 in words is "two hundred sixty-four million, six hundred seven thousand, three hundred eighty".