480023100 has 108 divisors (see below), whose sum is σ = 1513793736. Its totient is φ = 127224960.

The previous prime is 480023099. The next prime is 480023143. The reversal of 480023100 is 1320084.

It is a happy number.

It is a super-2 number, since 2×480023100² = 460844353067220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154159 + ... + 157241.

Almost surely, 2^480023100 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 480023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756896868).

480023100 is an abundant number, since it is smaller than the sum of its proper divisors (1033770636).

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

480023100 is a wasteful number, since it uses less digits than its factorization.

480023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 480023100 is about 21909.4294768257. The cubic root of 480023100 is about 782.9860882326.

Adding to 480023100 its reverse (1320084), we get a palindrome (481343184).

The spelling of 480023100 in words is "four hundred eighty million, twenty-three thousand, one hundred".