46405008 has 80 divisors (see below), whose sum is σ = 143463040. Its totient is φ = 14276736.

The previous prime is 46405003. The next prime is 46405031. The reversal of 46405008 is 80050464.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (46405003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485 + ... + 9747.

It is an arithmetic number, because the mean of its divisors is an integer number (1793288).

Almost surely, 2^46405008 is an apocalyptic number.

46405008 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 46405008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71731520).

46405008 is an abundant number, since it is smaller than the sum of its proper divisors (97058032).

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

46405008 is a wasteful number, since it uses less digits than its factorization.

46405008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 46405008 is about 6812.1221363097. The cubic root of 46405008 is about 359.3532833556.

The spelling of 46405008 in words is "forty-six million, four hundred five thousand, eight".