427840800 has 144 divisors (see below), whose sum is σ = 1408972320. Its totient is φ = 112752640.

The previous prime is 427840789. The next prime is 427840811. The reversal of 427840800 is 8048724.

It is an interprime number because it is at equal distance from previous prime (427840789) and next prime (427840811).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212599 + ... + 214601.

It is an arithmetic number, because the mean of its divisors is an integer number (9784530).

Almost surely, 2^427840800 is an apocalyptic number.

427840800 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 427840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704486160).

427840800 is an abundant number, since it is smaller than the sum of its proper divisors (981131520).

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

427840800 is a wasteful number, since it uses less digits than its factorization.

427840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 427840800 is about 20684.3128964924. The cubic root of 427840800 is about 753.5187542291.

The spelling of 427840800 in words is "four hundred twenty-seven million, eight hundred forty thousand, eight hundred".