46408824 has 144 divisors (see below), whose sum is σ = 158099760. Its totient is φ = 12038400.

The previous prime is 46408819. The next prime is 46408837. The reversal of 46408824 is 42880464.

46408824 is a `hidden beast` number, since 4 + 640 + 8 + 8 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60604 + ... + 61364.

It is an arithmetic number, because the mean of its divisors is an integer number (1097915).

Almost surely, 2^46408824 is an apocalyptic number.

46408824 is a gapful number since it is divisible by the number (44) 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 46408824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79049880).

46408824 is an abundant number, since it is smaller than the sum of its proper divisors (111690936).

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

46408824 is a wasteful number, since it uses less digits than its factorization.

46408824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 46408824 is about 6812.4022194818. The cubic root of 46408824 is about 359.3631332591.

The spelling of 46408824 in words is "forty-six million, four hundred eight thousand, eight hundred twenty-four".