480453624 has 288 divisors, whose sum is σ = 1638973440. Its totient is φ = 126403200.

The previous prime is 480453619. The next prime is 480453641. The reversal of 480453624 is 426354084.

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

It is a congruent number.

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, 2515369 + ... + 2515559.

It is an arithmetic number, because the mean of its divisors is an integer number (5690880).

Almost surely, 2^480453624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480453624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819486720).

480453624 is an abundant number, since it is smaller than the sum of its proper divisors (1158519816).

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

480453624 is a wasteful number, since it uses less digits than its factorization.

480453624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 480453624 is about 21919.2523595126. The cubic root of 480453624 is about 783.2201002867.

The spelling of 480453624 in words is "four hundred eighty million, four hundred fifty-three thousand, six hundred twenty-four".