449916390 has 512 divisors, whose sum is σ = 1692057600. Its totient is φ = 82114560.

The previous prime is 449916367. The next prime is 449916431. The reversal of 449916390 is 93619944.

449916390 is a `hidden beast` number, since 4 + 4 + 9 + 9 + 1 + 639 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6715137 + ... + 6715203.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^449916390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449916390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846028800).

449916390 is an abundant number, since it is smaller than the sum of its proper divisors (1242141210).

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

449916390 is a wasteful number, since it uses less digits than its factorization.

449916390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 449916390 is about 21211.2326374494. The cubic root of 449916390 is about 766.2619693564.

The spelling of 449916390 in words is "four hundred forty-nine million, nine hundred sixteen thousand, three hundred ninety".