46581840 has 120 divisors (see below), whose sum is σ = 161561088. Its totient is φ = 12015360.

The previous prime is 46581823. The next prime is 46581883. The reversal of 46581840 is 4818564.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46581795 and 46581804.

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, 21277 + ... + 23363.

Almost surely, 2^46581840 is an apocalyptic number.

46581840 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 46581840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80780544).

46581840 is an abundant number, since it is smaller than the sum of its proper divisors (114979248).

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

46581840 is a wasteful number, since it uses less digits than its factorization.

46581840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 46581840 is about 6825.0890104086. The cubic root of 46581840 is about 359.8091581087.

The spelling of 46581840 in words is "forty-six million, five hundred eighty-one thousand, eight hundred forty".