869400576 has 216 divisors, whose sum is σ = 2780812944. Its totient is φ = 259522560.

The previous prime is 869400563. The next prime is 869400583. The reversal of 869400576 is 675004968.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12976095 + ... + 12976161.

It is an arithmetic number, because the mean of its divisors is an integer number (12874134).

Almost surely, 2^869400576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869400576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390406472).

869400576 is an abundant number, since it is smaller than the sum of its proper divisors (1911412368).

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

869400576 is an equidigital number, since it uses as much as digits as its factorization.

869400576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 869400576 is about 29485.5994682150. The cubic root of 869400576 is about 954.4209737092.

The spelling of 869400576 in words is "eight hundred sixty-nine million, four hundred thousand, five hundred seventy-six".