46779000 has 128 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 12048000.

The previous prime is 46778999. The next prime is 46779013. The reversal of 46779000 is 97764.

46779000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92749 + ... + 93251.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^46779000 is an apocalyptic number.

46779000 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 46779000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

46779000 is an abundant number, since it is smaller than the sum of its proper divisors (104179080).

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

46779000 is a wasteful number, since it uses less digits than its factorization.

46779000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 46779000 is about 6839.5175268435. The cubic root of 46779000 is about 360.3160804245.

The spelling of 46779000 in words is "forty-six million, seven hundred seventy-nine thousand".