5303654400 has 576 divisors, whose sum is σ = 19839980160. Its totient is φ = 1238630400.

The previous prime is 5303654399. The next prime is 5303654423. The reversal of 5303654400 is 44563035.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72652764 + ... + 72652836.

It is an arithmetic number, because the mean of its divisors is an integer number (34444410).

Almost surely, 2^5303654400 is an apocalyptic number.

5303654400 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 5303654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9919990080).

5303654400 is an abundant number, since it is smaller than the sum of its proper divisors (14536325760).

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

5303654400 is a wasteful number, since it uses less digits than its factorization.

5303654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 5303654400 is about 72826.1930901238. The cubic root of 5303654400 is about 1743.9140321791.

The spelling of 5303654400 in words is "five billion, three hundred three million, six hundred fifty-four thousand, four hundred".