869454000 has 240 divisors, whose sum is σ = 3150944160. Its totient is φ = 231724800.

The previous prime is 869453989. The next prime is 869454007. The reversal of 869454000 is 454968.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (869454007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485106 + ... + 486894.

It is an arithmetic number, because the mean of its divisors is an integer number (13128934).

Almost surely, 2^869454000 is an apocalyptic number.

869454000 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 869454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575472080).

869454000 is an abundant number, since it is smaller than the sum of its proper divisors (2281490160).

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

869454000 is a wasteful number, since it uses less digits than its factorization.

869454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1799 counting only the distinct ones).

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

The square root of 869454000 is about 29486.5053880584. The cubic root of 869454000 is about 954.4405227883.

The spelling of 869454000 in words is "eight hundred sixty-nine million, four hundred fifty-four thousand".