46084000 has 96 divisors (see below), whose sum is σ = 116402832. Its totient is φ = 17920000.

The previous prime is 46083997. The next prime is 46084009. The reversal of 46084000 is 48064.

It can be written as a sum of positive squares in 8 ways, for example, as 7056 + 46076944 = 84^2 + 6788^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46084009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163860 + ... + 164140.

Almost surely, 2^46084000 is an apocalyptic number.

46084000 is a gapful number since it is divisible by the number (40) 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 46084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58201416).

46084000 is an abundant number, since it is smaller than the sum of its proper divisors (70318832).

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

46084000 is a wasteful number, since it uses less digits than its factorization.

46084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 46084000 is about 6788.5197208228. The cubic root of 46084000 is about 358.5227530465.

The spelling of 46084000 in words is "forty-six million, eighty-four thousand".