459378204789504 has 576 divisors, whose sum is σ = 1642543602094080. Its totient is φ = 110074250280960.

The previous prime is 459378204789499. The next prime is 459378204789529. The reversal of 459378204789504 is 405987402873954.

It is a super-2 number, since 2×459378204789504² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1281357027 + ... + 1281715485.

It is an arithmetic number, because the mean of its divisors is an integer number (2851638198080).

Almost surely, 2^{459378204789504} is an apocalyptic number.

459378204789504 is a gapful number since it is divisible by the number (44) 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 459378204789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821271801047040).

459378204789504 is an abundant number, since it is smaller than the sum of its proper divisors (1183165397304576).

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

459378204789504 is a wasteful number, since it uses less digits than its factorization.

459378204789504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360176 (or 360162 counting only the distinct ones).

The product of its (nonzero) digits is 2438553600, while the sum is 75.

The spelling of 459378204789504 in words is "four hundred fifty-nine trillion, three hundred seventy-eight billion, two hundred four million, seven hundred eighty-nine thousand, five hundred four".