46906720 has 144 divisors (see below), whose sum is σ = 133757568. Its totient is φ = 15482880.

The previous prime is 46906681. The next prime is 46906721. The reversal of 46906720 is 2760964.

It is a super-3 number, since 3×46906720³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46906721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242944 + ... + 243136.

It is an arithmetic number, because the mean of its divisors is an integer number (928872).

Almost surely, 2^46906720 is an apocalyptic number.

46906720 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 46906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66878784).

46906720 is an abundant number, since it is smaller than the sum of its proper divisors (86850848).

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

46906720 is a wasteful number, since it uses less digits than its factorization.

46906720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 46906720 is about 6848.8480783267. The cubic root of 46906720 is about 360.6437042943.

The spelling of 46906720 in words is "forty-six million, nine hundred six thousand, seven hundred twenty".