263430144 has 140 divisors (see below), whose sum is σ = 788972514. Its totient is φ = 87588864.

The previous prime is 263430091. The next prime is 263430151. The reversal of 263430144 is 441034362.

It can be written as a sum of positive squares in only one way, i.e., 207360000 + 56070144 = 14400^2 + 7488^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663354 + ... + 663750.

Almost surely, 2^263430144 is an apocalyptic number.

263430144 is a gapful number since it is divisible by the number (24) 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 263430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394486257).

263430144 is an abundant number, since it is smaller than the sum of its proper divisors (525542370).

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

263430144 is an frugal number, since it uses more digits than its factorization.

263430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 263430144 is about 16230.5312297534. The cubic root of 263430144 is about 641.0449595810.

The spelling of 263430144 in words is "two hundred sixty-three million, four hundred thirty thousand, one hundred forty-four".