480428452 has 48 divisors (see below), whose sum is σ = 1044090880. Its totient is φ = 188762400.

The previous prime is 480428437. The next prime is 480428477. The reversal of 480428452 is 254824084.

It is a super-2 number, since 2×480428452² = 461622994982232608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927 + ... + 31057.

Almost surely, 2^480428452 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 480428452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522045440).

480428452 is an abundant number, since it is smaller than the sum of its proper divisors (563662428).

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

480428452 is a wasteful number, since it uses less digits than its factorization.

480428452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29192 (or 29190 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The square root of 480428452 is about 21918.6781535749. The cubic root of 480428452 is about 783.2064218519.

The spelling of 480428452 in words is "four hundred eighty million, four hundred twenty-eight thousand, four hundred fifty-two".