46144800 has 432 divisors, whose sum is σ = 191940840. Its totient is φ = 10321920.

The previous prime is 46144789. The next prime is 46144807. The reversal of 46144800 is 844164.

46144800 is a `hidden beast` number, since 4 + 614 + 48 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2108304 + 44036496 = 1452^2 + 6636^2 .

It is not an unprimeable number, because it can be changed into a prime (46144807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1591186 + ... + 1591214.

Almost surely, 2^46144800 is an apocalyptic number.

46144800 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 46144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95970420).

46144800 is an abundant number, since it is smaller than the sum of its proper divisors (145796040).

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

46144800 is a wasteful number, since it uses less digits than its factorization.

46144800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 46144800 is about 6792.9963933451. The cubic root of 46144800 is about 358.6803536894.

Adding to 46144800 its reverse (844164), we get a palindrome (46988964).

The spelling of 46144800 in words is "forty-six million, one hundred forty-four thousand, eight hundred".