289932480 has 224 divisors, whose sum is σ = 1068019200. Its totient is φ = 73903104.

The previous prime is 289932463. The next prime is 289932493. The reversal of 289932480 is 84239982.

289932480 is a `hidden beast` number, since 2 + 89 + 93 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197991 + ... + 199449.

Almost surely, 2^289932480 is an apocalyptic number.

289932480 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 289932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534009600).

289932480 is an abundant number, since it is smaller than the sum of its proper divisors (778086720).

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

289932480 is a wasteful number, since it uses less digits than its factorization.

289932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 289932480 is about 17027.4037950593. The cubic root of 289932480 is about 661.8592204666.

The spelling of 289932480 in words is "two hundred eighty-nine million, nine hundred thirty-two thousand, four hundred eighty".