480712050 has 432 divisors, whose sum is σ = 1707346080. Its totient is φ = 99066240.

The previous prime is 480712049. The next prime is 480712061. The reversal of 480712050 is 50217084.

It is a super-3 number, since 3×480712050³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11179329 + ... + 11179371.

It is an arithmetic number, because the mean of its divisors is an integer number (3952190).

Almost surely, 2^480712050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480712050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853673040).

480712050 is an abundant number, since it is smaller than the sum of its proper divisors (1226634030).

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

480712050 is a wasteful number, since it uses less digits than its factorization.

480712050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 480712050 is about 21925.1465217453. The cubic root of 480712050 is about 783.3605010446.

The spelling of 480712050 in words is "four hundred eighty million, seven hundred twelve thousand, fifty".