449018640 has 400 divisors, whose sum is σ = 1879701120. Its totient is φ = 97044480.

The previous prime is 449018579. The next prime is 449018681. The reversal of 449018640 is 46810944.

It is a happy number.

449018640 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 1 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 449018595 and 449018604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 861580 + ... + 862100.

Almost surely, 2^449018640 is an apocalyptic number.

449018640 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 449018640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939850560).

449018640 is an abundant number, since it is smaller than the sum of its proper divisors (1430682480).

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

449018640 is a wasteful number, since it uses less digits than its factorization.

449018640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 449018640 is about 21190.0599338463. The cubic root of 449018640 is about 765.7519710897.

The spelling of 449018640 in words is "four hundred forty-nine million, eighteen thousand, six hundred forty".