480969720 has 192 divisors, whose sum is σ = 1948976640. Its totient is φ = 99936000.

The previous prime is 480969719. The next prime is 480969733. The reversal of 480969720 is 27969084.

It is a happy number.

It is a super-3 number, since 3×480969720³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19045 + ... + 36395.

It is an arithmetic number, because the mean of its divisors is an integer number (10150920).

Almost surely, 2^480969720 is an apocalyptic number.

480969720 is a gapful number since it is divisible by the number (40) 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 480969720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974488320).

480969720 is an abundant number, since it is smaller than the sum of its proper divisors (1468006920).

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

480969720 is a wasteful number, since it uses less digits than its factorization.

480969720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17386 (or 17379 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 480969720 is about 21931.0218640172. The cubic root of 480969720 is about 783.5004409846.

It can be divided in two parts, 4809 and 69720, that added together give a square (74529 = 273²).

The spelling of 480969720 in words is "four hundred eighty million, nine hundred sixty-nine thousand, seven hundred twenty".