1447672320 has 240 divisors, whose sum is σ = 5279171040. Its totient is φ = 365617152.

The previous prime is 1447672217. The next prime is 1447672337. The reversal of 1447672320 is 232767441.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436107 + ... + 439413.

It is an arithmetic number, because the mean of its divisors is an integer number (21996546).

Almost surely, 2^1447672320 is an apocalyptic number.

1447672320 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 1447672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639585520).

1447672320 is an abundant number, since it is smaller than the sum of its proper divisors (3831498720).

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

1447672320 is a wasteful number, since it uses less digits than its factorization.

1447672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 1447672320 is about 38048.2893176553. The cubic root of 1447672320 is about 1131.2452193158.

The spelling of 1447672320 in words is "one billion, four hundred forty-seven million, six hundred seventy-two thousand, three hundred twenty".