869162400 has 432 divisors, whose sum is σ = 3378158784. Its totient is φ = 217313280.

The previous prime is 869162381. The next prime is 869162447. The reversal of 869162400 is 4261968.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3304669 + ... + 3304931.

It is an arithmetic number, because the mean of its divisors is an integer number (7819812).

Almost surely, 2^869162400 is an apocalyptic number.

869162400 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 869162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689079392).

869162400 is an abundant number, since it is smaller than the sum of its proper divisors (2508996384).

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

869162400 is a wasteful number, since it uses less digits than its factorization.

869162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 869162400 is about 29481.5603386252. The cubic root of 869162400 is about 954.3338098488. Note that the first 3 decimals are identical.

The spelling of 869162400 in words is "eight hundred sixty-nine million, one hundred sixty-two thousand, four hundred".