46861920 has 144 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 10708992.

The previous prime is 46861909. The next prime is 46861921. The reversal of 46861920 is 2916864.

46861920 is a `hidden beast` number, since 468 + 6 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (46861921) 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 23 ways as a sum of consecutive naturals, for example, 7756 + ... + 12404.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^46861920 is an apocalyptic number.

46861920 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 46861920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

46861920 is an abundant number, since it is smaller than the sum of its proper divisors (135938880).

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

46861920 is a wasteful number, since it uses less digits than its factorization.

46861920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 46861920 is about 6845.5766740283. The cubic root of 46861920 is about 360.5288523470.

The spelling of 46861920 in words is "forty-six million, eight hundred sixty-one thousand, nine hundred twenty".