480825072 has 320 divisors, whose sum is σ = 1731000320. Its totient is φ = 125971200.

The previous prime is 480825067. The next prime is 480825073. The reversal of 480825072 is 270528084.

It is a happy number.

It is a super-3 number, since 3×480825072³ (a number of 27 digits) contains 333 as substring.

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 (480825073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3184197 + ... + 3184347.

It is an arithmetic number, because the mean of its divisors is an integer number (5409376).

Almost surely, 2^480825072 is an apocalyptic number.

480825072 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 480825072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865500160).

480825072 is an abundant number, since it is smaller than the sum of its proper divisors (1250175248).

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

480825072 is a wasteful number, since it uses less digits than its factorization.

480825072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 480825072 is about 21927.7238216829. The cubic root of 480825072 is about 783.4218891685.

The spelling of 480825072 in words is "four hundred eighty million, eight hundred twenty-five thousand, seventy-two".