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44906400 = 253652711

44906400 has 504 divisors, whose sum is σ = 204924384. Its totient is φ = 9331200.

The previous prime is 44906387. The next prime is 44906417. The reversal of 44906400 is 460944.

44906400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4082395 + ... + 4082405.

It is an arithmetic number, because the mean of its divisors is an integer number (406596).

Almost surely, 244906400 is an apocalyptic number.

44906400 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 44906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102462192).

44906400 is an abundant number, since it is smaller than the sum of its proper divisors (160017984).

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

44906400 is a wasteful number, since it uses less digits than its factorization.

44906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 44906400 is about 6701.2237688351. The cubic root of 44906400 is about 355.4425479982.

The spelling of 44906400 in words is "forty-four million, nine hundred six thousand, four hundred".