449661240 has 384 divisors, whose sum is σ = 1809864000. Its totient is φ = 98896896.

The previous prime is 449661221. The next prime is 449661241. The reversal of 449661240 is 42166944.

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 = 449661195 and 449661204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449661241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1534534 + ... + 1534826.

Almost surely, 2^449661240 is an apocalyptic number.

449661240 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 449661240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904932000).

449661240 is an abundant number, since it is smaller than the sum of its proper divisors (1360202760).

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

449661240 is a wasteful number, since it uses less digits than its factorization.

449661240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 449661240 is about 21205.2172825463. The cubic root of 449661240 is about 766.1170915405.

The spelling of 449661240 in words is "four hundred forty-nine million, six hundred sixty-one thousand, two hundred forty".