1208486400 has 240 divisors, whose sum is σ = 4356605088. Its totient is φ = 292864000.

The previous prime is 1208486369. The next prime is 1208486413. The reversal of 1208486400 is 46848021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420970 + ... + 423830.

Almost surely, 2^1208486400 is an apocalyptic number.

1208486400 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 1208486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178302544).

1208486400 is an abundant number, since it is smaller than the sum of its proper divisors (3148118688).

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

1208486400 is a wasteful number, since it uses less digits than its factorization.

1208486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1208486400 is about 34763.2909834498. The cubic root of 1208486400 is about 1065.1577275264.

The spelling of 1208486400 in words is "one billion, two hundred eight million, four hundred eighty-six thousand, four hundred".