46286880 has 48 divisors (see below), whose sum is σ = 145805184. Its totient is φ = 12343040.

The previous prime is 46286873. The next prime is 46286893. The reversal of 46286880 is 8868264.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47736 + ... + 48695.

It is an arithmetic number, because the mean of its divisors is an integer number (3037608).

Almost surely, 2^46286880 is an apocalyptic number.

46286880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46286880 is an abundant number, since it is smaller than the sum of its proper divisors (99518304).

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

46286880 is a wasteful number, since it uses less digits than its factorization.

46286880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96449 (or 96441 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 46286880 is about 6803.4461855739. The cubic root of 46286880 is about 359.0481025335.

The spelling of 46286880 in words is "forty-six million, two hundred eighty-six thousand, eight hundred eighty".