263997504 has 63 divisors (see below), whose sum is σ = 757820557. Its totient is φ = 87869184.

The previous prime is 263997499. The next prime is 263997509. The reversal of 263997504 is 405799362.

It is a happy number.

The square root of 263997504 is 16248.

It is a perfect power (a square), and thus also a powerful number.

263997504 is a `hidden beast` number, since 2 + 639 + 9 + 7 + 5 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (263997499) and next prime (263997509).

It can be written as a sum of positive squares in only one way, i.e., 262440000 + 1557504 = 16200^2 + 1248^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 263997504.

It is not an unprimeable number, because it can be changed into a prime (263997509) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 389614 + ... + 390290.

Almost surely, 2^263997504 is an apocalyptic number.

263997504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

263997504 is the 16248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263997504

263997504 is an abundant number, since it is smaller than the sum of its proper divisors (493823053).

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

263997504 is an frugal number, since it uses more digits than its factorization.

263997504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The cubic root of 263997504 is about 641.5048442742.

The spelling of 263997504 in words is "two hundred sixty-three million, nine hundred ninety-seven thousand, five hundred four".