854408016 has 240 divisors, whose sum is σ = 3002807808. Its totient is φ = 220320000.

The previous prime is 854408011. The next prime is 854408047. The reversal of 854408016 is 610804458.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854408011) 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, 2782935 + ... + 2783241.

Almost surely, 2^854408016 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 854408016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501403904).

854408016 is an abundant number, since it is smaller than the sum of its proper divisors (2148399792).

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

854408016 is a wasteful number, since it uses less digits than its factorization.

854408016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 854408016 is about 29230.2585688187. The cubic root of 854408016 is about 948.9028945320.

The spelling of 854408016 in words is "eight hundred fifty-four million, four hundred eight thousand, sixteen".