459378148320 has 1152 divisors, whose sum is σ = 2040940661760. Its totient is φ = 91371110400.

The previous prime is 459378148279. The next prime is 459378148393. The reversal of 459378148320 is 23841873954.

It is a happy number.

459378148320 is a `hidden beast` number, since 4 + 5 + 93 + 78 + 1 + 483 + 2 + 0 = 666.

It is a super-2 number, since 2×459378148320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 764356020 + ... + 764356620.

It is an arithmetic number, because the mean of its divisors is an integer number (1771649880).

Almost surely, 2^459378148320 is an apocalyptic number.

459378148320 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 459378148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020470330880).

459378148320 is an abundant number, since it is smaller than the sum of its proper divisors (1581562513440).

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

459378148320 is a wasteful number, since it uses less digits than its factorization.

459378148320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 459378148320 in words is "four hundred fifty-nine billion, three hundred seventy-eight million, one hundred forty-eight thousand, three hundred twenty".