480178440 has 288 divisors, whose sum is σ = 1837442880. Its totient is φ = 108428544.

The previous prime is 480178417. The next prime is 480178441. The reversal of 480178440 is 44871084.

It is a happy number.

480178440 is a `hidden beast` number, since 48 + 0 + 178 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 480178395 and 480178404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480178441) 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, 2875237 + ... + 2875403.

It is an arithmetic number, because the mean of its divisors is an integer number (6380010).

Almost surely, 2^480178440 is an apocalyptic number.

480178440 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 480178440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918721440).

480178440 is an abundant number, since it is smaller than the sum of its proper divisors (1357264440).

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

480178440 is a wasteful number, since it uses less digits than its factorization.

480178440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 480178440 is about 21912.9742390210. The cubic root of 480178440 is about 783.0705396831.

The spelling of 480178440 in words is "four hundred eighty million, one hundred seventy-eight thousand, four hundred forty".