46842624 has 126 divisors (see below), whose sum is σ = 140747796. Its totient is φ = 15552000.

The previous prime is 46842613. The next prime is 46842647. The reversal of 46842624 is 42624864.

It is a happy number.

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.

Its product of digits (73728) is a multiple of the sum of its prime divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186499 + ... + 186749.

It is an arithmetic number, because the mean of its divisors is an integer number (1117046).

Almost surely, 2^46842624 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 46842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70373898).

46842624 is an abundant number, since it is smaller than the sum of its proper divisors (93905172).

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

46842624 is an frugal number, since it uses more digits than its factorization.

46842624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 46842624 is about 6844.1671516701. The cubic root of 46842624 is about 360.4793614184.

The spelling of 46842624 in words is "forty-six million, eight hundred forty-two thousand, six hundred twenty-four".