46379808 has 72 divisors (see below), whose sum is σ = 139665708. Its totient is φ = 14548992.

The previous prime is 46379807. The next prime is 46379863. The reversal of 46379808 is 80897364.

It is a happy number.

46379808 is a `hidden beast` number, since 4 + 637 + 9 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37307664 + 9072144 = 6108^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (46379807) by changing a digit.

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, 160 + ... + 9632.

Almost surely, 2^46379808 is an apocalyptic number.

46379808 is a gapful number since it is divisible by the number (48) 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 46379808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69832854).

46379808 is an abundant number, since it is smaller than the sum of its proper divisors (93285900).

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

46379808 is a wasteful number, since it uses less digits than its factorization.

46379808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9506 (or 9495 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 46379808 is about 6810.2722412544. The cubic root of 46379808 is about 359.2882232623.

The spelling of 46379808 in words is "forty-six million, three hundred seventy-nine thousand, eight hundred eight".