46908720 has 240 divisors, whose sum is σ = 173322240. Its totient is φ = 11757312.

The previous prime is 46908703. The next prime is 46908721. The reversal of 46908720 is 2780964.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (46908721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369297 + ... + 369423.

It is an arithmetic number, because the mean of its divisors is an integer number (722176).

Almost surely, 2^46908720 is an apocalyptic number.

46908720 is a gapful number since it is divisible by the number (40) 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 46908720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86661120).

46908720 is an abundant number, since it is smaller than the sum of its proper divisors (126413520).

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

46908720 is a wasteful number, since it uses less digits than its factorization.

46908720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 46908720 is about 6848.9940867254. The cubic root of 46908720 is about 360.6488299079.

The spelling of 46908720 in words is "forty-six million, nine hundred eight thousand, seven hundred twenty".