268463052 has 96 divisors (see below), whose sum is σ = 817743360. Its totient is φ = 75090240.

The previous prime is 268463033. The next prime is 268463053. The reversal of 268463052 is 250364862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 268462998 and 268463016.

It is not an unprimeable number, because it can be changed into a prime (268463053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6753 + ... + 24135.

It is an arithmetic number, because the mean of its divisors is an integer number (8518160).

Almost surely, 2^268463052 is an apocalyptic number.

268463052 is a gapful number since it is divisible by the number (22) 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 268463052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408871680).

268463052 is an abundant number, since it is smaller than the sum of its proper divisors (549280308).

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

268463052 is a wasteful number, since it uses less digits than its factorization.

268463052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17420 (or 17412 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 268463052 is about 16384.8421414428. The cubic root of 268463052 is about 645.1016821845.

The spelling of 268463052 in words is "two hundred sixty-eight million, four hundred sixty-three thousand, fifty-two".