264481920 has 384 divisors, whose sum is σ = 1006752240. Its totient is φ = 63700992.

The previous prime is 264481913. The next prime is 264481961. The reversal of 264481920 is 29184462.

264481920 is a `hidden beast` number, since 2 + 644 + 8 + 1 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 215032896 + 49449024 = 14664^2 + 7032^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3623004 + ... + 3623076.

Almost surely, 2^264481920 is an apocalyptic number.

264481920 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 264481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503376120).

264481920 is an abundant number, since it is smaller than the sum of its proper divisors (742270320).

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

264481920 is a wasteful number, since it uses less digits than its factorization.

264481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 264481920 is about 16262.9001103739. The cubic root of 264481920 is about 641.8969759275.

The spelling of 264481920 in words is "two hundred sixty-four million, four hundred eighty-one thousand, nine hundred twenty".