46581440 has 56 divisors (see below), whose sum is σ = 115763040. Its totient is φ = 17819648.

The previous prime is 46581439. The next prime is 46581497. The reversal of 46581440 is 4418564.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 46581397 and 46581406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4196 + ... + 10524.

Almost surely, 2^46581440 is an apocalyptic number.

46581440 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 46581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57881520).

46581440 is an abundant number, since it is smaller than the sum of its proper divisors (69181600).

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

46581440 is a wasteful number, since it uses less digits than its factorization.

46581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 46581440 is about 6825.0597066985. The cubic root of 46581440 is about 359.8081282076.

The spelling of 46581440 in words is "forty-six million, five hundred eighty-one thousand, four hundred forty".