480407400 has 288 divisors, whose sum is σ = 1854122400. Its totient is φ = 110246400.

The previous prime is 480407399. The next prime is 480407401. The reversal of 480407400 is 4704084.

It is an interprime number because it is at equal distance from previous prime (480407399) and next prime (480407401).

It is not an unprimeable number, because it can be changed into a prime (480407401) 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, 375562 + ... + 376838.

It is an arithmetic number, because the mean of its divisors is an integer number (6437925).

Almost surely, 2^480407400 is an apocalyptic number.

480407400 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 480407400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927061200).

480407400 is an abundant number, since it is smaller than the sum of its proper divisors (1373715000).

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

480407400 is a wasteful number, since it uses less digits than its factorization.

480407400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 480407400 is about 21918.1979186246. The cubic root of 480407400 is about 783.1949818534.

The spelling of 480407400 in words is "four hundred eighty million, four hundred seven thousand, four hundred".