1413350400 has 528 divisors, whose sum is σ = 5848197120. Its totient is φ = 292454400.

The previous prime is 1413350347. The next prime is 1413350413. The reversal of 1413350400 is 40533141.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5913481 + ... + 5913719.

Almost surely, 2^1413350400 is an apocalyptic number.

1413350400 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 1413350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924098560).

1413350400 is an abundant number, since it is smaller than the sum of its proper divisors (4434846720).

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

1413350400 is a wasteful number, since it uses less digits than its factorization.

1413350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1413350400 is about 37594.5527969146. The cubic root of 1413350400 is about 1122.2336376899.

Adding to 1413350400 its reverse (40533141), we get a palindrome (1453883541).

The spelling of 1413350400 in words is "one billion, four hundred thirteen million, three hundred fifty thousand, four hundred".