1245405200 has 120 divisors (see below), whose sum is σ = 3309845448. Its totient is φ = 447344640.

The previous prime is 1245405167. The next prime is 1245405211. The reversal of 1245405200 is 25045421.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 484528144 + 760877056 = 22012^2 + 27584^2 .

It is a super-2 number, since 2×1245405200² = 3102068224374080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189164 + ... + 195636.

Almost surely, 2^1245405200 is an apocalyptic number.

1245405200 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 1245405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654922724).

1245405200 is an abundant number, since it is smaller than the sum of its proper divisors (2064440248).

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

1245405200 is a wasteful number, since it uses less digits than its factorization.

1245405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 1245405200 is about 35290.2989502781. The cubic root of 1245405200 is about 1075.8958315984.

The spelling of 1245405200 in words is "one billion, two hundred forty-five million, four hundred five thousand, two hundred".