208020480 has 176 divisors, whose sum is σ = 689757120. Its totient is φ = 53444608.

The previous prime is 208020479. The next prime is 208020499. The reversal of 208020480 is 84020802.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 208020480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445207 + ... + 445673.

Almost surely, 2^208020480 is an apocalyptic number.

208020480 is a gapful number since it is divisible by the number (20) 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 208020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344878560).

208020480 is an abundant number, since it is smaller than the sum of its proper divisors (481736640).

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

208020480 is a wasteful number, since it uses less digits than its factorization.

208020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 208020480 is about 14422.9151006307. The cubic root of 208020480 is about 592.5186591713.

The spelling of 208020480 in words is "two hundred eight million, twenty thousand, four hundred eighty".