1205210448 has 80 divisors (see below), whose sum is σ = 3725525440. Its totient is φ = 370832256.

The previous prime is 1205210429. The next prime is 1205210459. The reversal of 1205210448 is 8440125021.

1205210448 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 210 + 448 = 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 15 ways as a sum of consecutive naturals, for example, 101686 + ... + 112917.

It is an arithmetic number, because the mean of its divisors is an integer number (46569068).

Almost surely, 2^1205210448 is an apocalyptic number.

1205210448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1205210448 is an abundant number, since it is smaller than the sum of its proper divisors (2520314992).

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

1205210448 is a wasteful number, since it uses less digits than its factorization.

1205210448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214633 (or 214621 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1205210448 is about 34716.1410297861. The cubic root of 1205210448 is about 1064.1943838045.

Adding to 1205210448 its reverse (8440125021), we get a palindrome (9645335469).

It can be divided in two parts, 12052 and 10448, that added together give a square (22500 = 150²).

The spelling of 1205210448 in words is "one billion, two hundred five million, two hundred ten thousand, four hundred forty-eight".