427576800 has 288 divisors, whose sum is σ = 1643894784. Its totient is φ = 94464000.

The previous prime is 427576789. The next prime is 427576801. The reversal of 427576800 is 8675724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427576801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520390 + ... + 521210.

It is an arithmetic number, because the mean of its divisors is an integer number (5707968).

Almost surely, 2^427576800 is an apocalyptic number.

427576800 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 427576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821947392).

427576800 is an abundant number, since it is smaller than the sum of its proper divisors (1216317984).

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

427576800 is a wasteful number, since it uses less digits than its factorization.

427576800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 427576800 is about 20677.9302639312. The cubic root of 427576800 is about 753.3637356009.

The spelling of 427576800 in words is "four hundred twenty-seven million, five hundred seventy-six thousand, eight hundred".