6415430400 has 324 divisors, whose sum is σ = 23143574272. Its totient is φ = 1695375360.

The previous prime is 6415430339. The next prime is 6415430429. The reversal of 6415430400 is 40345146.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7314762 + ... + 7315638.

Almost surely, 2^6415430400 is an apocalyptic number.

6415430400 is a gapful number since it is divisible by the number (60) 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 6415430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11571787136).

6415430400 is an abundant number, since it is smaller than the sum of its proper divisors (16728143872).

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

6415430400 is a wasteful number, since it uses less digits than its factorization.

6415430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6415430400 is about 80096.3819407593. The cubic root of 6415430400 is about 1858.1264519752.

Adding to 6415430400 its reverse (40345146), we get a palindrome (6455775546).

The spelling of 6415430400 in words is "six billion, four hundred fifteen million, four hundred thirty thousand, four hundred".