480129000 has 192 divisors, whose sum is σ = 1623810240. Its totient is φ = 118060800.

The previous prime is 480128989. The next prime is 480129007. The reversal of 480129000 is 921084.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (480129007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506527 + ... + 507473.

It is an arithmetic number, because the mean of its divisors is an integer number (8457345).

Almost surely, 2^480129000 is an apocalyptic number.

480129000 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 480129000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811905120).

480129000 is an abundant number, since it is smaller than the sum of its proper divisors (1143681240).

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

480129000 is a wasteful number, since it uses less digits than its factorization.

480129000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 480129000 is about 21911.8461111792. The cubic root of 480129000 is about 783.0436633298.

The spelling of 480129000 in words is "four hundred eighty million, one hundred twenty-nine thousand".