46016000 has 80 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 18380800.

The previous prime is 46015979. The next prime is 46016027. The reversal of 46016000 is 61064.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 46016000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63641 + ... + 64359.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^46016000 is an apocalyptic number.

46016000 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 46016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

46016000 is an abundant number, since it is smaller than the sum of its proper divisors (68887360).

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

46016000 is an frugal number, since it uses more digits than its factorization.

46016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 46016000 is about 6783.5094162240. The cubic root of 46016000 is about 358.3463248700.

Adding to 46016000 its reverse (61064), we get a palindrome (46077064).

It can be divided in two parts, 4601 and 6000, that added together give a palindrome (10601).

The spelling of 46016000 in words is "forty-six million, sixteen thousand".