46044400 has 60 divisors (see below), whose sum is σ = 113236552. Its totient is φ = 17982720.

The previous prime is 46044359. The next prime is 46044419. The reversal of 46044400 is 444064.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15862 + ... + 18538.

Almost surely, 2^46044400 is an apocalyptic number.

46044400 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 46044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56618276).

46044400 is an abundant number, since it is smaller than the sum of its proper divisors (67192152).

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

46044400 is a wasteful number, since it uses less digits than its factorization.

46044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 46044400 is about 6785.6024050927. The cubic root of 46044400 is about 358.4200307018.

Adding to 46044400 its reverse (444064), we get a palindrome (46488464).

The spelling of 46044400 in words is "forty-six million, forty-four thousand, four hundred".