44750400 has 84 divisors (see below), whose sum is σ = 146834352. Its totient is φ = 11932160.

The previous prime is 44750399. The next prime is 44750411. The reversal of 44750400 is 405744.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139 + ... + 9461.

It is an arithmetic number, because the mean of its divisors is an integer number (1748028).

Almost surely, 2^44750400 is an apocalyptic number.

44750400 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 44750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73417176).

44750400 is an abundant number, since it is smaller than the sum of its proper divisors (102083952).

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

44750400 is a wasteful number, since it uses less digits than its factorization.

44750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9348 (or 9333 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 44750400 is about 6689.5739774667. The cubic root of 44750400 is about 355.0304807525.

It can be divided in two parts, 44750 and 400, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 44750400 in words is "forty-four million, seven hundred fifty thousand, four hundred".