448620000 has 120 divisors (see below), whose sum is σ = 1471760136. Its totient is φ = 119616000.

The previous prime is 448619981. The next prime is 448620031. The reversal of 448620000 is 26844.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56262 + ... + 63738.

Almost surely, 2^448620000 is an apocalyptic number.

448620000 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 448620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735880068).

448620000 is an abundant number, since it is smaller than the sum of its proper divisors (1023140136).

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

448620000 is an equidigital number, since it uses as much as digits as its factorization.

448620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7510 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 448620000 is about 21180.6515480521. The cubic root of 448620000 is about 765.5252917496.

Adding to 448620000 its reverse (26844), we get a palindrome (448646844).

The spelling of 448620000 in words is "four hundred forty-eight million, six hundred twenty thousand".