46448000 has 64 divisors (see below), whose sum is σ = 115521120. Its totient is φ = 18572800.

The previous prime is 46447969. The next prime is 46448009. The reversal of 46448000 is 84464.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46448009) 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 7 ways as a sum of consecutive naturals, for example, 14549 + ... + 17451.

Almost surely, 2^46448000 is an apocalyptic number.

46448000 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 46448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57760560).

46448000 is an abundant number, since it is smaller than the sum of its proper divisors (69073120).

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

46448000 is an equidigital number, since it uses as much as digits as its factorization.

46448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 46448000 is about 6815.2769569549. The cubic root of 46448000 is about 359.4642235929.

The spelling of 46448000 in words is "forty-six million, four hundred forty-eight thousand".