427648000 has 176 divisors, whose sum is σ = 1153427184. Its totient is φ = 157286400.

The previous prime is 427647973. The next prime is 427648009. The reversal of 427648000 is 846724.

It can be written as a sum of positive squares in 8 ways, for example, as 87909376 + 339738624 = 9376^2 + 18432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427648009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1663872 + ... + 1664128.

Almost surely, 2^427648000 is an apocalyptic number.

427648000 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 427648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576713592).

427648000 is an abundant number, since it is smaller than the sum of its proper divisors (725779184).

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

427648000 is a wasteful number, since it uses less digits than its factorization.

427648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 427648000 is about 20679.6518345933. The cubic root of 427648000 is about 753.4055499377.

It can be divided in two parts, 4 and 27648000, that multiplied together give a cube (110592000 = 480³).

The spelling of 427648000 in words is "four hundred twenty-seven million, six hundred forty-eight thousand".