44929800 has 144 divisors (see below), whose sum is σ = 152938500. Its totient is φ = 11819520.

The previous prime is 44929799. The next prime is 44929823. The reversal of 44929800 is 892944.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 32012964 + 12916836 = 5658^2 + 3594^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 196086 + ... + 196314.

Almost surely, 2^44929800 is an apocalyptic number.

44929800 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 44929800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76469250).

44929800 is an abundant number, since it is smaller than the sum of its proper divisors (108008700).

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

44929800 is a wasteful number, since it uses less digits than its factorization.

44929800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 44929800 is about 6702.9694912031. The cubic root of 44929800 is about 355.5042757353.

The spelling of 44929800 in words is "forty-four million, nine hundred twenty-nine thousand, eight hundred".