44993400 has 192 divisors, whose sum is σ = 149990400. Its totient is φ = 11136000.

The previous prime is 44993371. The next prime is 44993411. The reversal of 44993400 is 439944.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762571 + ... + 762629.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^44993400 is an apocalyptic number.

44993400 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 44993400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

44993400 is an abundant number, since it is smaller than the sum of its proper divisors (104997000).

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

44993400 is a wasteful number, since it uses less digits than its factorization.

44993400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 44993400 is about 6707.7119795054. The cubic root of 44993400 is about 355.6719403426.

The spelling of 44993400 in words is "forty-four million, nine hundred ninety-three thousand, four hundred".