868390400 has 60 divisors (see below), whose sum is σ = 2151536772. Its totient is φ = 347351040.

The previous prime is 868390399. The next prime is 868390409. The reversal of 868390400 is 4093868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868390409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 21122 + ... + 46721.

Almost surely, 2^868390400 is an apocalyptic number.

868390400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

868390400 is an abundant number, since it is smaller than the sum of its proper divisors (1283146372).

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

868390400 is an equidigital number, since it uses as much as digits as its factorization.

868390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67871 (or 67850 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 868390400 is about 29468.4645002077. The cubic root of 868390400 is about 954.0511760788.

The spelling of 868390400 in words is "eight hundred sixty-eight million, three hundred ninety thousand, four hundred".