480251772 has 144 divisors (see below), whose sum is σ = 1630067712. Its totient is φ = 115136640.

The previous prime is 480251729. The next prime is 480251773. The reversal of 480251772 is 277152084.

480251772 is a `hidden beast` number, since 480 + 2 + 5 + 177 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480251773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29373 + ... + 42699.

Almost surely, 2^480251772 is an apocalyptic number.

480251772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480251772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815033856).

480251772 is an abundant number, since it is smaller than the sum of its proper divisors (1149815940).

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

480251772 is a wasteful number, since it uses less digits than its factorization.

480251772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13368 (or 13363 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 480251772 is about 21914.6474304288. The cubic root of 480251772 is about 783.1104007022.

It can be divided in two parts, 480 and 251772, that added together give a palindrome (252252).

The spelling of 480251772 in words is "four hundred eighty million, two hundred fifty-one thousand, seven hundred seventy-two".