46918872 has 384 divisors, whose sum is σ = 183859200. Its totient is φ = 10886400.

The previous prime is 46918867. The next prime is 46918889. The reversal of 46918872 is 27881964.

46918872 is a `hidden beast` number, since 469 + 188 + 7 + 2 = 666.

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

Its product of digits (193536) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1513497 + ... + 1513527.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^46918872 is an apocalyptic number.

46918872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46918872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

46918872 is an abundant number, since it is smaller than the sum of its proper divisors (136940328).

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

46918872 is a wasteful number, since it uses less digits than its factorization.

46918872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 46918872 is about 6849.7351773627. The cubic root of 46918872 is about 360.6748452758.

The spelling of 46918872 in words is "forty-six million, nine hundred eighteen thousand, eight hundred seventy-two".