448729440 has 48 divisors (see below), whose sum is σ = 1413499248. Its totient is φ = 119661056.

The previous prime is 448729417. The next prime is 448729493. The reversal of 448729440 is 44927844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×448729440² = 402716220645427200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 448729392 and 448729401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466947 + ... + 467906.

It is an arithmetic number, because the mean of its divisors is an integer number (29447901).

Almost surely, 2^448729440 is an apocalyptic number.

448729440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448729440 is an abundant number, since it is smaller than the sum of its proper divisors (964769808).

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

448729440 is a wasteful number, since it uses less digits than its factorization.

448729440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934871 (or 934863 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 448729440 is about 21183.2348804426. The cubic root of 448729440 is about 765.5875361704.

The spelling of 448729440 in words is "four hundred forty-eight million, seven hundred twenty-nine thousand, four hundred forty".