46827144 has 144 divisors (see below), whose sum is σ = 159033420. Its totient is φ = 12337920.

The previous prime is 46827113. The next prime is 46827167. The reversal of 46827144 is 44172864.

It can be written as a sum of positive squares in 2 ways, for example, as 45724644 + 1102500 = 6762^2 + 1050^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46827099 and 46827108.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45354 + ... + 46374.

Almost surely, 2^46827144 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 46827144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79516710).

46827144 is an abundant number, since it is smaller than the sum of its proper divisors (112206276).

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

46827144 is a wasteful number, since it uses less digits than its factorization.

46827144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1046 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 46827144 is about 6843.0361682516. The cubic root of 46827144 is about 360.4396480488.

It can be divided in two parts, 46827 and 144, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 46827144 in words is "forty-six million, eight hundred twenty-seven thousand, one hundred forty-four".