46587440 has 40 divisors (see below), whose sum is σ = 111250320. Its totient is φ = 18130176.

The previous prime is 46587413. The next prime is 46587461. The reversal of 46587440 is 4478564.

46587440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×46587440³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46587394 and 46587403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4910 + ... + 10829.

It is an arithmetic number, because the mean of its divisors is an integer number (2781258).

Almost surely, 2^46587440 is an apocalyptic number.

46587440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46587440 is an abundant number, since it is smaller than the sum of its proper divisors (64662880).

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

46587440 is a wasteful number, since it uses less digits than its factorization.

46587440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15789 (or 15783 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 46587440 is about 6825.4992491392. The cubic root of 46587440 is about 359.8235761061.

The spelling of 46587440 in words is "forty-six million, five hundred eighty-seven thousand, four hundred forty".