46381824 has 108 divisors (see below), whose sum is σ = 137270952. Its totient is φ = 15052800.

The previous prime is 46381807. The next prime is 46381843. The reversal of 46381824 is 42818364.

46381824 is a `hidden beast` number, since 4 + 638 + 18 + 2 + 4 = 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 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 11 ways as a sum of consecutive naturals, for example, 94219 + ... + 94709.

Almost surely, 2^46381824 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 46381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68635476).

46381824 is an abundant number, since it is smaller than the sum of its proper divisors (90889128).

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

46381824 is a wasteful number, since it uses less digits than its factorization.

46381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 537 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 46381824 is about 6810.4202513501. The cubic root of 46381824 is about 359.2934289369.

The spelling of 46381824 in words is "forty-six million, three hundred eighty-one thousand, eight hundred twenty-four".