1413770400 has 216 divisors, whose sum is σ = 5697697824. Its totient is φ = 323136000.

The previous prime is 1413770353. The next prime is 1413770437. The reversal of 1413770400 is 40773141.

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 35 ways as a sum of consecutive naturals, for example, 36375 + ... + 64425.

Almost surely, 2^1413770400 is an apocalyptic number.

1413770400 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 1413770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848848912).

1413770400 is an abundant number, since it is smaller than the sum of its proper divisors (4283927424).

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

1413770400 is a wasteful number, since it uses less digits than its factorization.

1413770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28084 (or 28068 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1413770400 is about 37600.1382976180. The cubic root of 1413770400 is about 1122.3447899908.

The spelling of 1413770400 in words is "one billion, four hundred thirteen million, seven hundred seventy thousand, four hundred".