427420800 has 480 divisors, whose sum is σ = 1687274820. Its totient is φ = 106168320.

The previous prime is 427420793. The next prime is 427420811. The reversal of 427420800 is 8024724.

It can be written as a sum of positive squares in 6 ways, for example, as 205291584 + 222129216 = 14328^2 + 14904^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4406352 + ... + 4406448.

Almost surely, 2^427420800 is an apocalyptic number.

427420800 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 427420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843637410).

427420800 is an abundant number, since it is smaller than the sum of its proper divisors (1259854020).

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

427420800 is a wasteful number, since it uses less digits than its factorization.

427420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 427420800 is about 20674.1577821202. The cubic root of 427420800 is about 753.2721036894.

The spelling of 427420800 in words is "four hundred twenty-seven million, four hundred twenty thousand, eight hundred".