480244608 has 192 divisors, whose sum is σ = 1496523600. Its totient is φ = 147308544.

The previous prime is 480244573. The next prime is 480244613. The reversal of 480244608 is 806442084.

480244608 = T₁₇ + T₁₈ + ... + T₁₄₂₂.

480244608 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 44 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809560 + ... + 810152.

Almost surely, 2^480244608 is an apocalyptic number.

480244608 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 480244608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748261800).

480244608 is an abundant number, since it is smaller than the sum of its proper divisors (1016278992).

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

480244608 is a wasteful number, since it uses less digits than its factorization.

480244608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 480244608 is about 21914.4839774976. The cubic root of 480244608 is about 783.1065067510.

The spelling of 480244608 in words is "four hundred eighty million, two hundred forty-four thousand, six hundred eight".