1448762880 has 320 divisors, whose sum is σ = 4900186368. Its totient is φ = 364707840.

The previous prime is 1448762879. The next prime is 1448762941. The reversal of 1448762880 is 882678441.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13539787 + ... + 13539893.

Almost surely, 2^1448762880 is an apocalyptic number.

1448762880 is a gapful number since it is divisible by the number (10) 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 1448762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450093184).

1448762880 is an abundant number, since it is smaller than the sum of its proper divisors (3451423488).

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

1448762880 is a wasteful number, since it uses less digits than its factorization.

1448762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 1448762880 is about 38062.6178815909. The cubic root of 1448762880 is about 1131.5292110983.

The spelling of 1448762880 in words is "one billion, four hundred forty-eight million, seven hundred sixty-two thousand, eight hundred eighty".