263348400 has 240 divisors, whose sum is σ = 976437504. Its totient is φ = 59427840.

The previous prime is 263348369. The next prime is 263348429. The reversal of 263348400 is 4843362.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 898654 + ... + 898946.

Almost surely, 2^263348400 is an apocalyptic number.

263348400 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 263348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488218752).

263348400 is an abundant number, since it is smaller than the sum of its proper divisors (713089104).

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

263348400 is a wasteful number, since it uses less digits than its factorization.

263348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 263348400 is about 16228.0128173477. The cubic root of 263348400 is about 640.9786459852.

The spelling of 263348400 in words is "two hundred sixty-three million, three hundred forty-eight thousand, four hundred".