449900409 has 32 divisors (see below), whose sum is σ = 701920000. Its totient is φ = 256217472.

The previous prime is 449900383. The next prime is 449900417. The reversal of 449900409 is 904009944.

It is a happy number.

It is not a de Polignac number, because 449900409 - 2¹⁶ = 449834873 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (449900459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420327 + ... + 421395.

It is an arithmetic number, because the mean of its divisors is an integer number (21935000).

Almost surely, 2^449900409 is an apocalyptic number.

449900409 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

449900409 is a deficient number, since it is larger than the sum of its proper divisors (252019591).

449900409 is a wasteful number, since it uses less digits than its factorization.

449900409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 449900409 is about 21210.8559233238. The cubic root of 449900409 is about 766.2528967244.

The spelling of 449900409 in words is "four hundred forty-nine million, nine hundred thousand, four hundred nine".