480400254 has 128 divisors (see below), whose sum is σ = 1157068800. Its totient is φ = 147450240.

The previous prime is 480400247. The next prime is 480400259. The reversal of 480400254 is 452004084.

480400254 is a `hidden beast` number, since 4 + 8 + 0 + 400 + 254 = 666.

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 (480400259) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4489669 + ... + 4489775.

It is an arithmetic number, because the mean of its divisors is an integer number (9039600).

Almost surely, 2^480400254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480400254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578534400).

480400254 is an abundant number, since it is smaller than the sum of its proper divisors (676668546).

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

480400254 is a wasteful number, since it uses less digits than its factorization.

480400254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 480400254 is about 21918.0349027918. The cubic root of 480400254 is about 783.1910985250.

The spelling of 480400254 in words is "four hundred eighty million, four hundred thousand, two hundred fifty-four".