44916900 has 144 divisors (see below), whose sum is σ = 151073664. Its totient is φ = 10091520.

The previous prime is 44916899. The next prime is 44916901. The reversal of 44916900 is 961944.

It is an interprime number because it is at equal distance from previous prime (44916899) and next prime (44916901).

It is a super-2 number, since 2×44916900² = 4035055811220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44916901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 153154 + ... + 153446.

Almost surely, 2^44916900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44916900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75536832).

44916900 is an abundant number, since it is smaller than the sum of its proper divisors (106156764).

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

44916900 is a wasteful number, since it uses less digits than its factorization.

44916900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 44916900 is about 6702.0071620374. The cubic root of 44916900 is about 355.4702489934.

The spelling of 44916900 in words is "forty-four million, nine hundred sixteen thousand, nine hundred".