44620400 has 60 divisors (see below), whose sum is σ = 116957544. Its totient is φ = 16224000.

The previous prime is 44620361. The next prime is 44620403. The reversal of 44620400 is 402644.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44620403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 671 + ... + 9470.

Almost surely, 2^44620400 is an apocalyptic number.

44620400 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 44620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58478772).

44620400 is an abundant number, since it is smaller than the sum of its proper divisors (72337144).

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

44620400 is a wasteful number, since it uses less digits than its factorization.

44620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10170 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 44620400 is about 6679.8502977237. The cubic root of 44620400 is about 354.6863592309.

The spelling of 44620400 in words is "forty-four million, six hundred twenty thousand, four hundred".