46600272 has 100 divisors (see below), whose sum is σ = 138321876. Its totient is φ = 15137280.

The previous prime is 46600271. The next prime is 46600273. The reversal of 46600272 is 27200664.

It is an interprime number because it is at equal distance from previous prime (46600271) and next prime (46600273).

It can be written as a sum of positive squares in 2 ways, for example, as 18974736 + 27625536 = 4356^2 + 5256^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46600271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52698 + ... + 53574.

Almost surely, 2^46600272 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 46600272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69160938).

46600272 is an abundant number, since it is smaller than the sum of its proper divisors (91721604).

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

46600272 is a wasteful number, since it uses less digits than its factorization.

46600272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 46600272 is about 6826.4391889183. The cubic root of 46600272 is about 359.8566095609.

The spelling of 46600272 in words is "forty-six million, six hundred thousand, two hundred seventy-two".