854040000 has 280 divisors, whose sum is σ = 3085112448. Its totient is φ = 206720000.

The previous prime is 854039951. The next prime is 854040017. The reversal of 854040000 is 40458.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1319677 + ... + 1320323.

Almost surely, 2^854040000 is an apocalyptic number.

854040000 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 854040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542556224).

854040000 is an abundant number, since it is smaller than the sum of its proper divisors (2231072448).

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

854040000 is a wasteful number, since it uses less digits than its factorization.

854040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 854040000 is about 29223.9627703020. The cubic root of 854040000 is about 948.7666358237.

Adding to 854040000 its reverse (40458), we get a palindrome (854080458).

The spelling of 854040000 in words is "eight hundred fifty-four million, forty thousand".