1268919400 has 48 divisors (see below), whose sum is σ = 3371703840. Its totient is φ = 435057600.

The previous prime is 1268919397. The next prime is 1268919437. The reversal of 1268919400 is 49198621.

It is a super-2 number, since 2×1268919400² = 3220312887392720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 11 ways as a sum of consecutive naturals, for example, 451786 + ... + 454585.

It is an arithmetic number, because the mean of its divisors is an integer number (70243830).

Almost surely, 2^1268919400 is an apocalyptic number.

1268919400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268919400 is an abundant number, since it is smaller than the sum of its proper divisors (2102784440).

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

1268919400 is a wasteful number, since it uses less digits than its factorization.

1268919400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906394 (or 906385 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 1268919400 is about 35621.8949524025. The cubic root of 1268919400 is about 1082.6249022496.

The spelling of 1268919400 in words is "one billion, two hundred sixty-eight million, nine hundred nineteen thousand, four hundred".