46953760 has 144 divisors (see below), whose sum is σ = 132637176. Its totient is φ = 15654912.

The previous prime is 46953749. The next prime is 46953763. The reversal of 46953760 is 6735964.

It can be written as a sum of positive squares in 4 ways, for example, as 28601104 + 18352656 = 5348^2 + 4284^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (46953763) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 415464 + ... + 415576.

Almost surely, 2^46953760 is an apocalyptic number.

46953760 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 46953760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66318588).

46953760 is an abundant number, since it is smaller than the sum of its proper divisors (85683416).

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

46953760 is a wasteful number, since it uses less digits than its factorization.

46953760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 46953760 is about 6852.2813719228. The cubic root of 46953760 is about 360.7642201611.

The spelling of 46953760 in words is "forty-six million, nine hundred fifty-three thousand, seven hundred sixty".