427766400 has 192 divisors, whose sum is σ = 1565822400. Its totient is φ = 114048000.

The previous prime is 427766389. The next prime is 427766401. The reversal of 427766400 is 4667724.

427766400 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (427766401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83925 + ... + 88875.

It is an arithmetic number, because the mean of its divisors is an integer number (8155325).

Almost surely, 2^427766400 is an apocalyptic number.

427766400 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 427766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782911200).

427766400 is an abundant number, since it is smaller than the sum of its proper divisors (1138056000).

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

427766400 is a wasteful number, since it uses less digits than its factorization.

427766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 427766400 is about 20682.5143539174. The cubic root of 427766400 is about 753.4750736161.

The spelling of 427766400 in words is "four hundred twenty-seven million, seven hundred sixty-six thousand, four hundred".