989950464 has 160 divisors (see below), whose sum is σ = 3085368000. Its totient is φ = 312532992.

The previous prime is 989950457. The next prime is 989950499. The reversal of 989950464 is 464059989.

989950464 is a `hidden beast` number, since 98 + 9 + 95 + 0 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 989950464 = 392³ + 976³ = 633³ + 903³.

It is a self number, because there is not a number n which added to its sum of digits gives 989950464.

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, 260772 + ... + 264540.

It is an arithmetic number, because the mean of its divisors is an integer number (19283550).

Almost surely, 2^989950464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989950464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542684000).

989950464 is an abundant number, since it is smaller than the sum of its proper divisors (2095417536).

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

989950464 is a wasteful number, since it uses less digits than its factorization.

989950464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 989950464 is about 31463.4782565437. The cubic root of 989950464 is about 996.6388701298.

The spelling of 989950464 in words is "nine hundred eighty-nine million, nine hundred fifty thousand, four hundred sixty-four".