5314470400 has 240 divisors, whose sum is σ = 13852238400. Its totient is φ = 2017935360.

The previous prime is 5314470397. The next prime is 5314470401. The reversal of 5314470400 is 40744135.

It is not an unprimeable number, because it can be changed into a prime (5314470401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38233531 + ... + 38233669.

It is an arithmetic number, because the mean of its divisors is an integer number (57717660).

Almost surely, 2^5314470400 is an apocalyptic number.

5314470400 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 5314470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926119200).

5314470400 is an abundant number, since it is smaller than the sum of its proper divisors (8537768000).

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

5314470400 is a wasteful number, since it uses less digits than its factorization.

5314470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 5314470400 is about 72900.4142649409. The cubic root of 5314470400 is about 1745.0987100807.

The spelling of 5314470400 in words is "five billion, three hundred fourteen million, four hundred seventy thousand, four hundred".