920190464 has 40 divisors (see below), whose sum is σ = 1856540400. Its totient is φ = 455602176.

The previous prime is 920190457. The next prime is 920190521. The reversal of 920190464 is 464091029.

920190464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44012 + ... + 61460.

It is an arithmetic number, because the mean of its divisors is an integer number (46413510).

Almost surely, 2^920190464 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 920190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928270200).

920190464 is an abundant number, since it is smaller than the sum of its proper divisors (936349936).

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

920190464 is a wasteful number, since it uses less digits than its factorization.

920190464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17570 (or 17554 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 920190464 is about 30334.6413197849. The cubic root of 920190464 is about 972.6559386740.

The spelling of 920190464 in words is "nine hundred twenty million, one hundred ninety thousand, four hundred sixty-four".