427280175252 has 480 divisors, whose sum is σ = 1421124300288. Its totient is φ = 109070032896.

The previous prime is 427280175251. The next prime is 427280175299. The reversal of 427280175252 is 252571082724.

427280175252 is a `hidden beast` number, since 42 + 7 + 2 + 80 + 1 + 7 + 525 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 427280175198 and 427280175207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427280175251) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121488198 + ... + 121491714.

Almost surely, 2^427280175252 is an apocalyptic number.

427280175252 is a gapful number since it is divisible by the number (42) 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 427280175252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710562150144).

427280175252 is an abundant number, since it is smaller than the sum of its proper divisors (993844125036).

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

427280175252 is a wasteful number, since it uses less digits than its factorization.

427280175252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 427280175252 in words is "four hundred twenty-seven billion, two hundred eighty million, one hundred seventy-five thousand, two hundred fifty-two".