46208272 has 40 divisors (see below), whose sum is σ = 98654400. Its totient is φ = 20791680.

The previous prime is 46208251. The next prime is 46208287. The reversal of 46208272 is 27280264.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16854 + ... + 19402.

It is an arithmetic number, because the mean of its divisors is an integer number (2466360).

Almost surely, 2^46208272 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 46208272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49327200).

46208272 is an abundant number, since it is smaller than the sum of its proper divisors (52446128).

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

46208272 is a wasteful number, since it uses less digits than its factorization.

46208272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 46208272 is about 6797.6666584939. Note that the first 4 decimals coincide. The cubic root of 46208272 is about 358.8447328402.

The spelling of 46208272 in words is "forty-six million, two hundred eight thousand, two hundred seventy-two".