449790000 has 400 divisors, whose sum is σ = 1673464320. Its totient is φ = 103040000.

The previous prime is 449789993. The next prime is 449790007. The reversal of 449790000 is 97944.

It is an interprime number because it is at equal distance from previous prime (449789993) and next prime (449790007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×449790000² = 404622088200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (449790007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9569977 + ... + 9570023.

Almost surely, 2^449790000 is an apocalyptic number.

449790000 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 449790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836732160).

449790000 is an abundant number, since it is smaller than the sum of its proper divisors (1223674320).

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

449790000 is a wasteful number, since it uses less digits than its factorization.

449790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 449790000 is about 21208.2531105228. The cubic root of 449790000 is about 766.1902101565.

The spelling of 449790000 in words is "four hundred forty-nine million, seven hundred ninety thousand".