480001511808 has 576 divisors, whose sum is σ = 1749311815680. Its totient is φ = 123634667520.

The previous prime is 480001511807. The next prime is 480001511819. The reversal of 480001511808 is 808115100084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480001511807) 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 71 ways as a sum of consecutive naturals, for example, 58596993 + ... + 58605183.

It is an arithmetic number, because the mean of its divisors is an integer number (3036999680).

Almost surely, 2^480001511808 is an apocalyptic number.

480001511808 is a gapful number since it is divisible by the number (48) 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 480001511808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874655907840).

480001511808 is an abundant number, since it is smaller than the sum of its proper divisors (1269310303872).

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

480001511808 is a wasteful number, since it uses less digits than its factorization.

480001511808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8287 (or 8259 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 480001511808 in words is "four hundred eighty billion, one million, five hundred eleven thousand, eight hundred eight".