263967480 has 288 divisors, whose sum is σ = 1022392800. Its totient is φ = 57853440.

The previous prime is 263967467. The next prime is 263967493. The reversal of 263967480 is 84769362.

263967480 is a `hidden beast` number, since 2 + 639 + 6 + 7 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (263967467) and next prime (263967493).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2421666 + ... + 2421774.

It is an arithmetic number, because the mean of its divisors is an integer number (3549975).

Almost surely, 2^263967480 is an apocalyptic number.

263967480 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 263967480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511196400).

263967480 is an abundant number, since it is smaller than the sum of its proper divisors (758425320).

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

263967480 is a wasteful number, since it uses less digits than its factorization.

263967480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 263967480 is about 16247.0760446303. The cubic root of 263967480 is about 641.4805242568.

The spelling of 263967480 in words is "two hundred sixty-three million, nine hundred sixty-seven thousand, four hundred eighty".