1350430400 has 126 divisors (see below), whose sum is σ = 3638118708. Its totient is φ = 489292800.

The previous prime is 1350430391. The next prime is 1350430421. The reversal of 1350430400 is 40340531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4875062 + ... + 4875338.

It is an arithmetic number, because the mean of its divisors is an integer number (28873958).

Almost surely, 2^1350430400 is an apocalyptic number.

1350430400 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 1350430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819059354).

1350430400 is an abundant number, since it is smaller than the sum of its proper divisors (2287688308).

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

1350430400 is an equidigital number, since it uses as much as digits as its factorization.

1350430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1350430400 is about 36748.2026771378. The cubic root of 1350430400 is about 1105.3268894945.

Adding to 1350430400 its reverse (40340531), we get a palindrome (1390770931).

The spelling of 1350430400 in words is "one billion, three hundred fifty million, four hundred thirty thousand, four hundred".