480921300 has 162 divisors, whose sum is σ = 1567454798. Its totient is φ = 128070720.

The previous prime is 480921263. The next prime is 480921319. The reversal of 480921300 is 3129084.

It can be written as a sum of positive squares in 3 ways, for example, as 139854276 + 341067024 = 11826^2 + 18468^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is a super-3 number, since 3×480921300³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 655734 + ... + 656466.

Almost surely, 2^480921300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480921300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783727399).

480921300 is an abundant number, since it is smaller than the sum of its proper divisors (1086533498).

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

480921300 is an equidigital number, since it uses as much as digits as its factorization.

480921300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 480921300 is about 21929.9179205030. The cubic root of 480921300 is about 783.4741480165.

The spelling of 480921300 in words is "four hundred eighty million, nine hundred twenty-one thousand, three hundred".