480743424 has 364 divisors, whose sum is σ = 1718930496. Its totient is φ = 131383296.

The previous prime is 480743413. The next prime is 480743437. The reversal of 480743424 is 424347084.

It is a happy number.

It is a super-3 number, since 3×480743424³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 27 ways as a sum of consecutive naturals, for example, 20901877 + ... + 20901899.

Almost surely, 2^480743424 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 480743424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859465248).

480743424 is an abundant number, since it is smaller than the sum of its proper divisors (1238187072).

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

480743424 is an frugal number, since it uses more digits than its factorization.

480743424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 480743424 is about 21925.8619898968. The cubic root of 480743424 is about 783.3775428597.

The spelling of 480743424 in words is "four hundred eighty million, seven hundred forty-three thousand, four hundred twenty-four".