480352426400 has 288 divisors, whose sum is σ = 1483852027392. Its totient is φ = 147484339200.

The previous prime is 480352426381. The next prime is 480352426403. The reversal of 480352426400 is 4624253084.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (480352426403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4069007 + ... + 4185393.

It is an arithmetic number, because the mean of its divisors is an integer number (5152263984).

Almost surely, 2^480352426400 is an apocalyptic number.

480352426400 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 480352426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741926013696).

480352426400 is an abundant number, since it is smaller than the sum of its proper divisors (1003499600992).

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

480352426400 is a wasteful number, since it uses less digits than its factorization.

480352426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116492 (or 116479 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

Adding to 480352426400 its reverse (4624253084), we get a palindrome (484976679484).

The spelling of 480352426400 in words is "four hundred eighty billion, three hundred fifty-two million, four hundred twenty-six thousand, four hundred".