869450400 has 432 divisors, whose sum is σ = 3776258304. Its totient is φ = 183306240.

The previous prime is 869450377. The next prime is 869450423. The reversal of 869450400 is 4054968.

It is an interprime number because it is at equal distance from previous prime (869450377) and next prime (869450423).

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

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 71 ways as a sum of consecutive naturals, for example, 654537 + ... + 655863.

Almost surely, 2^869450400 is an apocalyptic number.

869450400 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 869450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888129152).

869450400 is an abundant number, since it is smaller than the sum of its proper divisors (2906807904).

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

869450400 is a wasteful number, since it uses less digits than its factorization.

869450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 869450400 is about 29486.4443431215. Note that the first 3 decimals coincide. The cubic root of 869450400 is about 954.4392054900.

The spelling of 869450400 in words is "eight hundred sixty-nine million, four hundred fifty thousand, four hundred".