46261920 has 96 divisors (see below), whose sum is σ = 150474240. Its totient is φ = 11934720.

The previous prime is 46261871. The next prime is 46261987. The reversal of 46261920 is 2916264.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13326 + ... + 16434.

It is an arithmetic number, because the mean of its divisors is an integer number (1567440).

Almost surely, 2^46261920 is an apocalyptic number.

46261920 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 46261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75237120).

46261920 is an abundant number, since it is smaller than the sum of its proper divisors (104212320).

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

46261920 is a wasteful number, since it uses less digits than its factorization.

46261920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 46261920 is about 6801.6115737375. The cubic root of 46261920 is about 358.9835525502.

The spelling of 46261920 in words is "forty-six million, two hundred sixty-one thousand, nine hundred twenty".