480470400 has 384 divisors, whose sum is σ = 1806134400. Its totient is φ = 124692480.

The previous prime is 480470399. The next prime is 480470401. The reversal of 480470400 is 4074084.

It is an interprime number because it is at equal distance from previous prime (480470399) and next prime (480470401).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480470401) 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, 5788759 + ... + 5788841.

It is an arithmetic number, because the mean of its divisors is an integer number (4703475).

Almost surely, 2^480470400 is an apocalyptic number.

480470400 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 480470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903067200).

480470400 is an abundant number, since it is smaller than the sum of its proper divisors (1325664000).

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

480470400 is a wasteful number, since it uses less digits than its factorization.

480470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

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

The square root of 480470400 is about 21919.6350334580. The cubic root of 480470400 is about 783.2292160798.

The spelling of 480470400 in words is "four hundred eighty million, four hundred seventy thousand, four hundred".