954289920 has 144 divisors (see below), whose sum is σ = 3066833952. Its totient is φ = 252887040.

The previous prime is 954289907. The next prime is 954289933. The reversal of 954289920 is 29982459.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (954289907) and next prime (954289933).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 954289920.

It is a congruent number.

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, 694354 + ... + 695726.

It is an arithmetic number, because the mean of its divisors is an integer number (21297458).

Almost surely, 2^954289920 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 954289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533416976).

954289920 is an abundant number, since it is smaller than the sum of its proper divisors (2112544032).

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

954289920 is a wasteful number, since it uses less digits than its factorization.

954289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 954289920 is about 30891.5833197329. The cubic root of 954289920 is about 984.5250684385.

The spelling of 954289920 in words is "nine hundred fifty-four million, two hundred eighty-nine thousand, nine hundred twenty".