920401284 has 192 divisors, whose sum is σ = 2605768704. Its totient is φ = 249600000.

The previous prime is 920401259. The next prime is 920401303. The reversal of 920401284 is 482104029.

920401284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7025899 + ... + 7026029.

It is an arithmetic number, because the mean of its divisors is an integer number (13571712).

Almost surely, 2^920401284 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 920401284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302884352).

920401284 is an abundant number, since it is smaller than the sum of its proper divisors (1685367420).

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

920401284 is a wasteful number, since it uses less digits than its factorization.

920401284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 920401284 is about 30338.1160258840. The cubic root of 920401284 is about 972.7302130318.

It can be divided in two parts, 920 and 401284, that added together give a palindrome (402204).

The spelling of 920401284 in words is "nine hundred twenty million, four hundred one thousand, two hundred eighty-four".