427709452800 has 960 divisors, whose sum is σ = 1665337411584. Its totient is φ = 94755225600.

The previous prime is 427709452787. The next prime is 427709452861. The reversal of 427709452800 is 8254907724.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 427709452800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1393190247 + ... + 1393190553.

Almost surely, 2^427709452800 is an apocalyptic number.

427709452800 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 427709452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832668705792).

427709452800 is an abundant number, since it is smaller than the sum of its proper divisors (1237627958784).

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

427709452800 is a wasteful number, since it uses less digits than its factorization.

427709452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 427709452800 in words is "four hundred twenty-seven billion, seven hundred nine million, four hundred fifty-two thousand, eight hundred".