263978400 has 288 divisors, whose sum is σ = 1034933760. Its totient is φ = 57093120.

The previous prime is 263978399. The next prime is 263978411. The reversal of 263978400 is 4879362.

263978400 = T₃₄₉ + T₃₅₀ + ... + T₁₁₇₅.

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 47 ways as a sum of consecutive naturals, for example, 318787 + ... + 319613.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2^263978400 is an apocalyptic number.

263978400 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 263978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517466880).

263978400 is an abundant number, since it is smaller than the sum of its proper divisors (770955360).

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

263978400 is a wasteful number, since it uses less digits than its factorization.

263978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 263978400 is about 16247.4121016241. The cubic root of 263978400 is about 641.4893698802.

The spelling of 263978400 in words is "two hundred sixty-three million, nine hundred seventy-eight thousand, four hundred".