480869222400 has 1728 divisors, whose sum is σ = 2130238656000. Its totient is φ = 105902899200.

The previous prime is 480869222371. The next prime is 480869222401. The reversal of 480869222400 is 4222968084.

480869222400 is a `hidden beast` number, since 4 + 80 + 86 + 92 + 2 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×480869222400³ (a number of 36 digits) contains 333 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 (480869222401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2099865486 + ... + 2099865714.

It is an arithmetic number, because the mean of its divisors is an integer number (1232777000).

Almost surely, 2^480869222400 is an apocalyptic number.

480869222400 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 480869222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065119328000).

480869222400 is an abundant number, since it is smaller than the sum of its proper divisors (1649369433600).

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

480869222400 is a wasteful number, since it uses less digits than its factorization.

480869222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 480869222400 in words is "four hundred eighty billion, eight hundred sixty-nine million, two hundred twenty-two thousand, four hundred".