480362400 has 432 divisors, whose sum is σ = 2013246144. Its totient is φ = 109486080.

The previous prime is 480362371. The next prime is 480362401. The reversal of 480362400 is 4263084.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (480362401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360624 + ... + 1360976.

It is an arithmetic number, because the mean of its divisors is an integer number (4660292).

Almost surely, 2^480362400 is an apocalyptic number.

480362400 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 480362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006623072).

480362400 is an abundant number, since it is smaller than the sum of its proper divisors (1532883744).

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

480362400 is a wasteful number, since it uses less digits than its factorization.

480362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 480362400 is about 21917.1713503362. The cubic root of 480362400 is about 783.1705270020.

The spelling of 480362400 in words is "four hundred eighty million, three hundred sixty-two thousand, four hundred".