480074400 has 432 divisors, whose sum is σ = 1910877696. Its totient is φ = 112527360.

The previous prime is 480074369. The next prime is 480074429. The reversal of 480074400 is 4470084.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2152689 + ... + 2152911.

It is an arithmetic number, because the mean of its divisors is an integer number (4423328).

Almost surely, 2^480074400 is an apocalyptic number.

480074400 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 480074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955438848).

480074400 is an abundant number, since it is smaller than the sum of its proper divisors (1430803296).

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

480074400 is a wasteful number, since it uses less digits than its factorization.

480074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

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

The square root of 480074400 is about 21910.6001743448. The cubic root of 480074400 is about 783.0139797761.

The spelling of 480074400 in words is "four hundred eighty million, seventy-four thousand, four hundred".