449274000 has 320 divisors, whose sum is σ = 1745602560. Its totient is φ = 97113600.

The previous prime is 449273989. The next prime is 449274029. The reversal of 449274000 is 472944.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 797719 + ... + 798281.

It is an arithmetic number, because the mean of its divisors is an integer number (5455008).

Almost surely, 2^449274000 is an apocalyptic number.

449274000 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 449274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872801280).

449274000 is an abundant number, since it is smaller than the sum of its proper divisors (1296328560).

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

449274000 is a wasteful number, since it uses less digits than its factorization.

449274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 449274000 is about 21196.0845440850. The cubic root of 449274000 is about 765.8971063906.

The spelling of 449274000 in words is "four hundred forty-nine million, two hundred seventy-four thousand".