208989440 has 72 divisors (see below), whose sum is σ = 546140448. Its totient is φ = 75991040.

The previous prime is 208989439. The next prime is 208989461. The reversal of 208989440 is 44989802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 208989391 and 208989400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6659 + ... + 21501.

It is an arithmetic number, because the mean of its divisors is an integer number (7585284).

Almost surely, 2^208989440 is an apocalyptic number.

208989440 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 208989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273070224).

208989440 is an abundant number, since it is smaller than the sum of its proper divisors (337151008).

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

208989440 is a wasteful number, since it uses less digits than its factorization.

208989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14875 (or 14861 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 208989440 is about 14456.4670649506. The cubic root of 208989440 is about 593.4372189712.

The spelling of 208989440 in words is "two hundred eight million, nine hundred eighty-nine thousand, four hundred forty".