449687700 has 540 divisors, whose sum is σ = 1867817952. Its totient is φ = 92534400.

The previous prime is 449687699. The next prime is 449687701. The reversal of 449687700 is 7786944.

It is an interprime number because it is at equal distance from previous prime (449687699) and next prime (449687701).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449687701) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4365849 + ... + 4365951.

Almost surely, 2^449687700 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 449687700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933908976).

449687700 is an abundant number, since it is smaller than the sum of its proper divisors (1418130252).

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

449687700 is a wasteful number, since it uses less digits than its factorization.

449687700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 449687700 is about 21205.8411764306. The cubic root of 449687700 is about 766.1321184532.

The spelling of 449687700 in words is "four hundred forty-nine million, six hundred eighty-seven thousand, seven hundred".