46881720 has 128 divisors (see below), whose sum is σ = 158457600. Its totient is φ = 12327552.

The previous prime is 46881707. The next prime is 46881727. The reversal of 46881720 is 2718864.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46881727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89379 + ... + 89901.

It is an arithmetic number, because the mean of its divisors is an integer number (1237950).

Almost surely, 2^46881720 is an apocalyptic number.

46881720 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 46881720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79228800).

46881720 is an abundant number, since it is smaller than the sum of its proper divisors (111575880).

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

46881720 is a wasteful number, since it uses less digits than its factorization.

46881720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 46881720 is about 6847.0227106385. The cubic root of 46881720 is about 360.5796218284.

The spelling of 46881720 in words is "forty-six million, eight hundred eighty-one thousand, seven hundred twenty".