427489759200 has 432 divisors, whose sum is σ = 1621045715184. Its totient is φ = 97567948800.

The previous prime is 427489759183. The next prime is 427489759217. The reversal of 427489759200 is 2957984724.

It is an interprime number because it is at equal distance from previous prime (427489759183) and next prime (427489759217).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93724920 + ... + 93729480.

It is an arithmetic number, because the mean of its divisors is an integer number (3752420637).

Almost surely, 2^427489759200 is an apocalyptic number.

427489759200 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 427489759200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810522857592).

427489759200 is an abundant number, since it is smaller than the sum of its proper divisors (1193555955984).

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

427489759200 is a wasteful number, since it uses less digits than its factorization.

427489759200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 427489759200 in words is "four hundred twenty-seven billion, four hundred eighty-nine million, seven hundred fifty-nine thousand, two hundred".