262973952 has 200 divisors, whose sum is σ = 833307156. Its totient is φ = 82280448.

The previous prime is 262973941. The next prime is 262973981. The reversal of 262973952 is 259379262.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 255488256 + 7485696 = 15984^2 + 2736^2 .

Its product of digits (408240) is a multiple of the sum of its prime factors (420).

It is a junction number, because it is equal to n+sod(n) for n = 262973898 and 262973907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 704838 + ... + 705210.

Almost surely, 2^262973952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416653578).

262973952 is an abundant number, since it is smaller than the sum of its proper divisors (570333204).

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

262973952 is an equidigital number, since it uses as much as digits as its factorization.

262973952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 395 counting only the distinct ones).

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

The square root of 262973952 is about 16216.4716260967. The cubic root of 262973952 is about 640.6747051245.

The spelling of 262973952 in words is "two hundred sixty-two million, nine hundred seventy-three thousand, nine hundred fifty-two".