440190000 has 300 divisors, whose sum is σ = 1583786776. Its totient is φ = 114048000.

The previous prime is 440189951. The next prime is 440190029. The reversal of 440190000 is 91044.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×440190000² = 387534472200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6029964 + ... + 6030036.

Almost surely, 2^440190000 is an apocalyptic number.

440190000 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 440190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791893388).

440190000 is an abundant number, since it is smaller than the sum of its proper divisors (1143596776).

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

440190000 is a wasteful number, since it uses less digits than its factorization.

440190000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 440190000 is about 20980.7054218870. The cubic root of 440190000 is about 760.6999553322.

The spelling of 440190000 in words is "four hundred forty million, one hundred ninety thousand".