46375968 has 48 divisors (see below), whose sum is σ = 122967936. Its totient is φ = 15302400.

The previous prime is 46375963. The next prime is 46375997. The reversal of 46375968 is 86957364.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (46375963) 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, 7305 + ... + 12087.

It is an arithmetic number, because the mean of its divisors is an integer number (2561832).

Almost surely, 2^46375968 is an apocalyptic number.

46375968 is a gapful number since it is divisible by the number (48) 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 46375968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61483968).

46375968 is an abundant number, since it is smaller than the sum of its proper divisors (76591968).

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

46375968 is a wasteful number, since it uses less digits than its factorization.

46375968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4897 (or 4889 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 46375968 is about 6809.9903083631. The cubic root of 46375968 is about 359.2783072743.

The spelling of 46375968 in words is "forty-six million, three hundred seventy-five thousand, nine hundred sixty-eight".