46785960 has 144 divisors (see below), whose sum is σ = 164864700. Its totient is φ = 11501568.

The previous prime is 46785943. The next prime is 46785971. The reversal of 46785960 is 6958764.

46785960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3305124 + 43480836 = 1818^2 + 6594^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 60456 + ... + 61224.

Almost surely, 2^46785960 is an apocalyptic number.

46785960 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 46785960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82432350).

46785960 is an abundant number, since it is smaller than the sum of its proper divisors (118078740).

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

46785960 is a wasteful number, since it uses less digits than its factorization.

46785960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 46785960 is about 6840.0263157389. The cubic root of 46785960 is about 360.3339493796. Note that the first 3 decimals are identical.

The spelling of 46785960 in words is "forty-six million, seven hundred eighty-five thousand, nine hundred sixty".