46638540 has 144 divisors (see below), whose sum is σ = 160524000. Its totient is φ = 10865664.

The previous prime is 46638509. The next prime is 46638563. The reversal of 46638540 is 4583664.

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 = 46638495 and 46638504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43936 + ... + 44984.

It is an arithmetic number, because the mean of its divisors is an integer number (1114750).

Almost surely, 2^46638540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46638540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80262000).

46638540 is an abundant number, since it is smaller than the sum of its proper divisors (113885460).

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

46638540 is a wasteful number, since it uses less digits than its factorization.

46638540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 46638540 is about 6829.2415391462. The cubic root of 46638540 is about 359.9550869896.

It can be divided in two parts, 4663 and 8540, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 46638540 in words is "forty-six million, six hundred thirty-eight thousand, five hundred forty".