480154003200 has 648 divisors, whose sum is σ = 1800760525200. Its totient is φ = 126565908480.

The previous prime is 480154003183. The next prime is 480154003211. The reversal of 480154003200 is 2300451084.

480154003200 is a `hidden beast` number, since 48 + 0 + 15 + 400 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×480154003200² (a number of 24 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138411066 + ... + 138414534.

Almost surely, 2^480154003200 is an apocalyptic number.

480154003200 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 480154003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900380262600).

480154003200 is an abundant number, since it is smaller than the sum of its proper divisors (1320606522000).

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

480154003200 is an equidigital number, since it uses as much as digits as its factorization.

480154003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 480154003200 its reverse (2300451084), we get a palindrome (482454454284).

The spelling of 480154003200 in words is "four hundred eighty billion, one hundred fifty-four million, three thousand, two hundred".