46996960 has 48 divisors (see below), whose sum is σ = 111585600. Its totient is φ = 18704896.

The previous prime is 46996951. The next prime is 46996967. The reversal of 46996960 is 6969964.

It is a happy number.

46996960 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 not an unprimeable number, because it can be changed into a prime (46996967) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 37626 + ... + 38854.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 2^46996960 is an apocalyptic number.

46996960 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 46996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55792800).

46996960 is an abundant number, since it is smaller than the sum of its proper divisors (64588640).

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

46996960 is a wasteful number, since it uses less digits than its factorization.

46996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

The square root of 46996960 is about 6855.4328820287. The cubic root of 46996960 is about 360.8748271147.

The spelling of 46996960 in words is "forty-six million, nine hundred ninety-six thousand, nine hundred sixty".