459923476320 has 1152 divisors, whose sum is σ = 2027948203008. Its totient is φ = 92156313600.

The previous prime is 459923476319. The next prime is 459923476321. The reversal of 459923476320 is 23674329954.

459923476320 is a `hidden beast` number, since 4 + 59 + 92 + 3 + 476 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (459923476319) and next prime (459923476321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459923476321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 358474399 + ... + 358475681.

It is an arithmetic number, because the mean of its divisors is an integer number (1760371704).

Almost surely, 2^459923476320 is an apocalyptic number.

459923476320 is a gapful number since it is divisible by the number (40) 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 459923476320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013974101504).

459923476320 is an abundant number, since it is smaller than the sum of its proper divisors (1568024726688).

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

459923476320 is a wasteful number, since it uses less digits than its factorization.

459923476320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 459923476320 in words is "four hundred fifty-nine billion, nine hundred twenty-three million, four hundred seventy-six thousand, three hundred twenty".