920258496 has 168 divisors, whose sum is σ = 2795869440. Its totient is φ = 299987712.

The previous prime is 920258393. The next prime is 920258527. The reversal of 920258496 is 694852029.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730315 + ... + 731573.

It is an arithmetic number, because the mean of its divisors is an integer number (16642080).

Almost surely, 2^920258496 is an apocalyptic number.

920258496 is a gapful number since it is divisible by the number (96) 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 920258496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397934720).

920258496 is an abundant number, since it is smaller than the sum of its proper divisors (1875610944).

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

920258496 is a wasteful number, since it uses less digits than its factorization.

920258496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 920258496 is about 30335.7626572994. The cubic root of 920258496 is about 972.6799083849.

The spelling of 920258496 in words is "nine hundred twenty million, two hundred fifty-eight thousand, four hundred ninety-six".