1205250400 has 36 divisors (see below), whose sum is σ = 2942319492. Its totient is φ = 482099840.

The previous prime is 1205250359. The next prime is 1205250401. The reversal of 1205250400 is 40525021.

It is a super-3 number, since 3×1205250400³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205250401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 752482 + ... + 754081.

It is an arithmetic number, because the mean of its divisors is an integer number (81731097).

Almost surely, 2^1205250400 is an apocalyptic number.

1205250400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205250400 is an abundant number, since it is smaller than the sum of its proper divisors (1737069092).

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

1205250400 is a wasteful number, since it uses less digits than its factorization.

1205250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506583 (or 1506570 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 1205250400 is about 34716.7164345939. The cubic root of 1205250400 is about 1064.2061428088.

Adding to 1205250400 its reverse (40525021), we get a palindrome (1245775421).

The spelling of 1205250400 in words is "one billion, two hundred five million, two hundred fifty thousand, four hundred".