4468478400 has 336 divisors, whose sum is σ = 16503274080. Its totient is φ = 1190661120.

The previous prime is 4468478383. The next prime is 4468478401. The reversal of 4468478400 is 48748644.

It is a super-2 number, since 2×4468478400² = 39934598422533120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4468478401) by changing a digit.

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, 3498562 + ... + 3499838.

Almost surely, 2^4468478400 is an apocalyptic number.

4468478400 is a gapful number since it is divisible by the number (40) 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 4468478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8251637040).

4468478400 is an abundant number, since it is smaller than the sum of its proper divisors (12034795680).

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

4468478400 is an equidigital number, since it uses as much as digits as its factorization.

4468478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 4468478400 is about 66846.6783019171. The cubic root of 4468478400 is about 1647.0996983454.

The spelling of 4468478400 in words is "four billion, four hundred sixty-eight million, four hundred seventy-eight thousand, four hundred".