46949672 has 64 divisors (see below), whose sum is σ = 110592000. Its totient is φ = 18152640.

The previous prime is 46949671. The next prime is 46949677. The reversal of 46949672 is 27694964.

It is a happy number.

It is a super-3 number, since 3×46949672³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (46949671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122393 + ... + 122775.

It is an arithmetic number, because the mean of its divisors is an integer number (1728000).

Almost surely, 2^46949672 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 46949672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55296000).

46949672 is an abundant number, since it is smaller than the sum of its proper divisors (63642328).

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

46949672 is a wasteful number, since it uses less digits than its factorization.

46949672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The square root of 46949672 is about 6851.9830706154. The cubic root of 46949672 is about 360.7537499528.

The spelling of 46949672 in words is "forty-six million, nine hundred forty-nine thousand, six hundred seventy-two".