448652736 has 224 divisors, whose sum is σ = 1560576000. Its totient is φ = 123669504.

The previous prime is 448652717. The next prime is 448652759. The reversal of 448652736 is 637256844.

448652736 is a `hidden beast` number, since 44 + 86 + 527 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 448652691 and 448652700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350145 + ... + 351423.

Almost surely, 2^448652736 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 448652736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780288000).

448652736 is an abundant number, since it is smaller than the sum of its proper divisors (1111923264).

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

448652736 is a wasteful number, since it uses less digits than its factorization.

448652736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1320 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 448652736 is about 21181.4243147150. The cubic root of 448652736 is about 765.5439115365.

The spelling of 448652736 in words is "four hundred forty-eight million, six hundred fifty-two thousand, seven hundred thirty-six".