854538000 has 160 divisors (see below), whose sum is σ = 2794202112. Its totient is φ = 224640000.

The previous prime is 854537989. The next prime is 854538029. The reversal of 854538000 is 835458.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437025 + ... + 438975.

Almost surely, 2^854538000 is an apocalyptic number.

854538000 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 854538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397101056).

854538000 is an abundant number, since it is smaller than the sum of its proper divisors (1939664112).

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

854538000 is a wasteful number, since it uses less digits than its factorization.

854538000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 854538000 is about 29232.4819336299. The cubic root of 854538000 is about 948.9510120345.

The spelling of 854538000 in words is "eight hundred fifty-four million, five hundred thirty-eight thousand".