263970720 has 288 divisors, whose sum is σ = 990662400. Its totient is φ = 63608832.

The previous prime is 263970719. The next prime is 263970727. The reversal of 263970720 is 27079362.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (263970727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104361 + ... + 1104599.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^263970720 is an apocalyptic number.

263970720 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 263970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

263970720 is an abundant number, since it is smaller than the sum of its proper divisors (726691680).

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

263970720 is a wasteful number, since it uses less digits than its factorization.

263970720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 263970720 is about 16247.1757545735. The cubic root of 263970720 is about 641.4831488079.

The spelling of 263970720 in words is "two hundred sixty-three million, nine hundred seventy thousand, seven hundred twenty".