1448798208 has 384 divisors, whose sum is σ = 4854245760. Its totient is φ = 377487360.

The previous prime is 1448798149. The next prime is 1448798257. The reversal of 1448798208 is 8028978441.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1448798208² = 4198032495008022528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 14936016 + ... + 14936112.

It is an arithmetic number, because the mean of its divisors is an integer number (12641265).

Almost surely, 2^1448798208 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 1448798208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427122880).

1448798208 is an abundant number, since it is smaller than the sum of its proper divisors (3405447552).

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

1448798208 is a wasteful number, since it uses less digits than its factorization.

1448798208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The square root of 1448798208 is about 38063.0819561422. The cubic root of 1448798208 is about 1131.5384084486.

The spelling of 1448798208 in words is "one billion, four hundred forty-eight million, seven hundred ninety-eight thousand, two hundred eight".