449740500 has 192 divisors, whose sum is σ = 1448568576. Its totient is φ = 107520000.

The previous prime is 449740493. The next prime is 449740523. The reversal of 449740500 is 5047944.

It is a happy number.

It is a super-3 number, since 3×449740500³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1600360 + ... + 1600640.

It is an arithmetic number, because the mean of its divisors is an integer number (7544628).

Almost surely, 2^449740500 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 449740500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724284288).

449740500 is an abundant number, since it is smaller than the sum of its proper divisors (998828076).

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

449740500 is a wasteful number, since it uses less digits than its factorization.

449740500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 449740500 is about 21207.0860798932. The cubic root of 449740500 is about 766.1621023678.

The spelling of 449740500 in words is "four hundred forty-nine million, seven hundred forty thousand, five hundred".