449574300 has 252 divisors, whose sum is σ = 1673549136. Its totient is φ = 102643200.

The previous prime is 449574287. The next prime is 449574319. The reversal of 449574300 is 3475944.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 509860 + ... + 510740.

It is an arithmetic number, because the mean of its divisors is an integer number (6641068).

Almost surely, 2^449574300 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 449574300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836774568).

449574300 is an abundant number, since it is smaller than the sum of its proper divisors (1223974836).

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

449574300 is a wasteful number, since it uses less digits than its factorization.

449574300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 449574300 is about 21203.1672162439. The cubic root of 449574300 is about 766.0677132477.

The spelling of 449574300 in words is "four hundred forty-nine million, five hundred seventy-four thousand, three hundred".