264301380 has 288 divisors, whose sum is σ = 1008274176. Its totient is φ = 56733696.

The previous prime is 264301369. The next prime is 264301393. The reversal of 264301380 is 83103462.

It is a happy number.

264301380 is a `hidden beast` number, since 2 + 643 + 0 + 13 + 8 + 0 = 666.

264301380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 578112 + ... + 578568.

It is an arithmetic number, because the mean of its divisors is an integer number (3500952).

Almost surely, 2^264301380 is an apocalyptic number.

264301380 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 264301380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504137088).

264301380 is an abundant number, since it is smaller than the sum of its proper divisors (743972796).

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

264301380 is a wasteful number, since it uses less digits than its factorization.

264301380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 264301380 is about 16257.3484922973. The cubic root of 264301380 is about 641.7508859678.

The spelling of 264301380 in words is "two hundred sixty-four million, three hundred one thousand, three hundred eighty".