1448591625 has 96 divisors (see below), whose sum is σ = 2889283488. Its totient is φ = 693619200.

The previous prime is 1448591621. The next prime is 1448591663. The reversal of 1448591625 is 5261958441.

1448591625 is a `hidden beast` number, since 1 + 4 + 485 + 9 + 162 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1337584329 + 111007296 = 36573^2 + 10536^2 .

It is not a de Polignac number, because 1448591625 - 2² = 1448591621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1448591621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 539787 + ... + 542463.

It is an arithmetic number, because the mean of its divisors is an integer number (30096703).

Almost surely, 2^1448591625 is an apocalyptic number.

1448591625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1448591625 is a deficient number, since it is larger than the sum of its proper divisors (1440691863).

1448591625 is a wasteful number, since it uses less digits than its factorization.

1448591625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2735 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1448591625 is about 38060.3681669003. The cubic root of 1448591625 is about 1131.4846241675.

The spelling of 1448591625 in words is "one billion, four hundred forty-eight million, five hundred ninety-one thousand, six hundred twenty-five".