1448172000 has 768 divisors, whose sum is σ = 6113802240. Its totient is φ = 329472000.

The previous prime is 1448171999. The next prime is 1448172041. The reversal of 1448172000 is 2718441.

1448172000 is a `hidden beast` number, since 1 + 448 + 17 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27323974 + ... + 27324026.

It is an arithmetic number, because the mean of its divisors is an integer number (7960680).

Almost surely, 2^1448172000 is an apocalyptic number.

1448172000 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 1448172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056901120).

1448172000 is an abundant number, since it is smaller than the sum of its proper divisors (4665630240).

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

1448172000 is a wasteful number, since it uses less digits than its factorization.

1448172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1448172000 is about 38054.8551435950. The cubic root of 1448172000 is about 1131.3753582477.

The spelling of 1448172000 in words is "one billion, four hundred forty-eight million, one hundred seventy-two thousand".