1205478400 has 297 divisors, whose sum is σ = 3591729657. Its totient is φ = 399974400.

The previous prime is 1205478397. The next prime is 1205478413. The reversal of 1205478400 is 48745021.

The square root of 1205478400 is 34720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 433972224 + 771506176 = 20832^2 + 27776^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

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 26 ways as a sum of consecutive naturals, for example, 38886385 + ... + 38886415.

Almost surely, 2^1205478400 is an apocalyptic number.

1205478400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1205478400 is the 34720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205478400

1205478400 is an abundant number, since it is smaller than the sum of its proper divisors (2386251257).

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

1205478400 is an equidigital number, since it uses as much as digits as its factorization.

1205478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The cubic root of 1205478400 is about 1064.2732446884.

The spelling of 1205478400 in words is "one billion, two hundred five million, four hundred seventy-eight thousand, four hundred".