5326430400 has 420 divisors, whose sum is σ = 19882070472. Its totient is φ = 1398435840.

The previous prime is 5326430393. The next prime is 5326430443. The reversal of 5326430400 is 40346235.

5326430400 is a `hidden beast` number, since 532 + 64 + 30 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9460519 + ... + 9461081.

Almost surely, 2^5326430400 is an apocalyptic number.

5326430400 is a gapful number since it is divisible by the number (50) 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 5326430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9941035236).

5326430400 is an abundant number, since it is smaller than the sum of its proper divisors (14555640072).

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

5326430400 is a wasteful number, since it uses less digits than its factorization.

5326430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 5326430400 is about 72982.3978778445. The cubic root of 5326430400 is about 1746.4068205676.

Adding to 5326430400 its reverse (40346235), we get a palindrome (5366776635).

The spelling of 5326430400 in words is "five billion, three hundred twenty-six million, four hundred thirty thousand, four hundred".