440010000 has 150 divisors (see below), whose sum is σ = 1539093270. Its totient is φ = 117312000.

The previous prime is 440009993. The next prime is 440010007. The reversal of 440010000 is 10044.

It is an interprime number because it is at equal distance from previous prime (440009993) and next prime (440010007).

It can be written as a sum of positive squares in 5 ways, for example, as 129686544 + 310323456 = 11388^2 + 17616^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440010007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 87556 + ... + 92444.

Almost surely, 2^440010000 is an apocalyptic number.

440010000 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 440010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769546635).

440010000 is an abundant number, since it is smaller than the sum of its proper divisors (1099083270).

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

440010000 is a wasteful number, since it uses less digits than its factorization.

440010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4923 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 440010000 is about 20976.4153276960. The cubic root of 440010000 is about 760.5962541578.

Adding to 440010000 its reverse (10044), we get a palindrome (440020044).

It can be divided in two parts, 4400 and 10000, that added together give a square (14400 = 120²).

The spelling of 440010000 in words is "four hundred forty million, ten thousand".