854149464 has 96 divisors (see below), whose sum is σ = 2648075040. Its totient is φ = 243648000.

The previous prime is 854149451. The next prime is 854149487. The reversal of 854149464 is 464941458.

854149464 is a `hidden beast` number, since 8 + 541 + 49 + 4 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473364 + ... + 475164.

It is an arithmetic number, because the mean of its divisors is an integer number (27584115).

Almost surely, 2^854149464 is an apocalyptic number.

854149464 is a gapful number since it is divisible by the number (84) 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 854149464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324037520).

854149464 is an abundant number, since it is smaller than the sum of its proper divisors (1793925576).

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

854149464 is a wasteful number, since it uses less digits than its factorization.

854149464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2754 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 854149464 is about 29225.8355569178. The cubic root of 854149464 is about 948.8071691922.

The spelling of 854149464 in words is "eight hundred fifty-four million, one hundred forty-nine thousand, four hundred sixty-four".