46964880 has 160 divisors (see below), whose sum is σ = 171417600. Its totient is φ = 11778048.

The previous prime is 46964857. The next prime is 46964881. The reversal of 46964880 is 8846964.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (46964881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36081 + ... + 37359.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 2^46964880 is an apocalyptic number.

46964880 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 46964880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800).

46964880 is an abundant number, since it is smaller than the sum of its proper divisors (124452720).

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

46964880 is a wasteful number, since it uses less digits than its factorization.

46964880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 46964880 is about 6853.0927324822. The cubic root of 46964880 is about 360.7926976921.

The spelling of 46964880 in words is "forty-six million, nine hundred sixty-four thousand, eight hundred eighty".