46727840 has 72 divisors (see below), whose sum is σ = 116654580. Its totient is φ = 17685504.

The previous prime is 46727827. The next prime is 46727843. The reversal of 46727840 is 4872764.

It can be written as a sum of positive squares in 2 ways, for example, as 45751696 + 976144 = 6764^2 + 988^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 46727794 and 46727803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46727843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57356 + ... + 58164.

Almost surely, 2^46727840 is an apocalyptic number.

46727840 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 46727840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58327290).

46727840 is an abundant number, since it is smaller than the sum of its proper divisors (69926740).

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

46727840 is a wasteful number, since it uses less digits than its factorization.

46727840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 46727840 is about 6835.7764738177. The cubic root of 46727840 is about 360.1846789066.

The spelling of 46727840 in words is "forty-six million, seven hundred twenty-seven thousand, eight hundred forty".