923892480 has 720 divisors, whose sum is σ = 4036327680. Its totient is φ = 197074944.

The previous prime is 923892467. The next prime is 923892481. The reversal of 923892480 is 84298329.

923892480 is a `hidden beast` number, since 92 + 3 + 89 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (923892481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13789407 + ... + 13789473.

Almost surely, 2^923892480 is an apocalyptic number.

923892480 is a gapful number since it is divisible by the number (90) 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 923892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018163840).

923892480 is an abundant number, since it is smaller than the sum of its proper divisors (3112435200).

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

923892480 is a wasteful number, since it uses less digits than its factorization.

923892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 923892480 is about 30395.5996815329. The cubic root of 923892480 is about 973.9585566204.

The spelling of 923892480 in words is "nine hundred twenty-three million, eight hundred ninety-two thousand, four hundred eighty".