449725140 has 288 divisors, whose sum is σ = 1528450560. Its totient is φ = 106549248.

The previous prime is 449725139. The next prime is 449725151. The reversal of 449725140 is 41527944.

It is a happy number.

449725140 is a `hidden beast` number, since 4 + 497 + 25 + 140 = 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 = 449725095 and 449725104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7622431 + ... + 7622489.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2^449725140 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 449725140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764225280).

449725140 is an abundant number, since it is smaller than the sum of its proper divisors (1078725420).

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

449725140 is a wasteful number, since it uses less digits than its factorization.

449725140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 449725140 is about 21206.7239336961. The cubic root of 449725140 is about 766.1533800165.

The spelling of 449725140 in words is "four hundred forty-nine million, seven hundred twenty-five thousand, one hundred forty".