46958472 has 96 divisors (see below), whose sum is σ = 139894560. Its totient is φ = 14112000.

The previous prime is 46958467. The next prime is 46958501. The reversal of 46958472 is 27485964.

It is a happy number.

46958472 is a `hidden beast` number, since 4 + 69 + 584 + 7 + 2 = 666.

It is a zygodrome in base 7.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 166972 + ... + 167252.

It is an arithmetic number, because the mean of its divisors is an integer number (1457235).

Almost surely, 2^46958472 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 46958472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69947280).

46958472 is an abundant number, since it is smaller than the sum of its proper divisors (92936088).

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

46958472 is a wasteful number, since it uses less digits than its factorization.

46958472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 508 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 46958472 is about 6852.6251903924. The cubic root of 46958472 is about 360.7762878076.

The spelling of 46958472 in words is "forty-six million, nine hundred fifty-eight thousand, four hundred seventy-two".