46770 has 16 divisors (see below), whose sum is σ = 112320. Its totient is φ = 12464.

The previous prime is 46769. The next prime is 46771. The reversal of 46770 is 7764.

It is an interprime number because it is at equal distance from previous prime (46769) and next prime (46771).

It is a d-powerful number, because it can be written as 4² + 6⁶ + 7² + 7² + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 46770.

It is not an unprimeable number, because it can be changed into a prime (46771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 750 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2⁴⁶⁷⁷⁰ is an apocalyptic number.

46770 is an abundant number, since it is smaller than the sum of its proper divisors (65550).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160).

46770 is a wasteful number, since it uses less digits than its factorization.

46770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 46770 is about 216.2637278880. The cubic root of 46770 is about 36.0292971389.

The spelling of 46770 in words is "forty-six thousand, seven hundred seventy".