854646240 has 384 divisors, whose sum is σ = 3265920000. Its totient is φ = 187557888.

The previous prime is 854646229. The next prime is 854646251. The reversal of 854646240 is 42646458.

It is an interprime number because it is at equal distance from previous prime (854646229) and next prime (854646251).

It is a super-2 number, since 2×854646240² = 1460840391092275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4774471 + ... + 4774649.

It is an arithmetic number, because the mean of its divisors is an integer number (8505000).

Almost surely, 2^854646240 is an apocalyptic number.

854646240 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 854646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632960000).

854646240 is an abundant number, since it is smaller than the sum of its proper divisors (2411273760).

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

854646240 is a wasteful number, since it uses less digits than its factorization.

854646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 854646240 is about 29234.3332402160. Note that the first 3 decimals coincide. The cubic root of 854646240 is about 948.9910766156.

The spelling of 854646240 in words is "eight hundred fifty-four million, six hundred forty-six thousand, two hundred forty".