868904400 has 480 divisors, whose sum is σ = 3504497920. Its totient is φ = 179159040.

The previous prime is 868904389. The next prime is 868904401. The reversal of 868904400 is 4409868.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868904401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7971546 + ... + 7971654.

Almost surely, 2^868904400 is an apocalyptic number.

868904400 is a gapful number since it is divisible by the number (80) 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 868904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752248960).

868904400 is an abundant number, since it is smaller than the sum of its proper divisors (2635593520).

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

868904400 is a wasteful number, since it uses less digits than its factorization.

868904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 868904400 is about 29477.1843974285. The cubic root of 868904400 is about 954.2393731477.

The spelling of 868904400 in words is "eight hundred sixty-eight million, nine hundred four thousand, four hundred".