46414872 has 192 divisors, whose sum is σ = 156499200. Its totient is φ = 12130560.

The previous prime is 46414867. The next prime is 46414873. The reversal of 46414872 is 27841464.

46414872 is a `hidden beast` number, since 4 + 641 + 4 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46414873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354247 + ... + 354377.

It is an arithmetic number, because the mean of its divisors is an integer number (815100).

Almost surely, 2^46414872 is an apocalyptic number.

46414872 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 46414872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78249600).

46414872 is an abundant number, since it is smaller than the sum of its proper divisors (110084328).

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

46414872 is a wasteful number, since it uses less digits than its factorization.

46414872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 46414872 is about 6812.8461013001. The cubic root of 46414872 is about 359.3787433208.

The spelling of 46414872 in words is "forty-six million, four hundred fourteen thousand, eight hundred seventy-two".