1448217120 has 96 divisors (see below), whose sum is σ = 5213593728. Its totient is φ = 331020288.

The previous prime is 1448217101. The next prime is 1448217137. The reversal of 1448217120 is 217128441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1448217120² = 4194665653322188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212149 + ... + 218868.

It is an arithmetic number, because the mean of its divisors is an integer number (54308268).

Almost surely, 2^1448217120 is an apocalyptic number.

1448217120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1448217120 is an abundant number, since it is smaller than the sum of its proper divisors (3765376608).

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

1448217120 is a wasteful number, since it uses less digits than its factorization.

1448217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431042 (or 431034 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1448217120 is about 38055.4479674067. The cubic root of 1448217120 is about 1131.3871080320.

The spelling of 1448217120 in words is "one billion, four hundred forty-eight million, two hundred seventeen thousand, one hundred twenty".