427803120 has 200 divisors, whose sum is σ = 1502140464. Its totient is φ = 112831488.

The previous prime is 427803119. The next prime is 427803127. The reversal of 427803120 is 21308724.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427803127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 693052 + ... + 693668.

Almost surely, 2^427803120 is an apocalyptic number.

427803120 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 427803120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751070232).

427803120 is an abundant number, since it is smaller than the sum of its proper divisors (1074337344).

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

427803120 is a wasteful number, since it uses less digits than its factorization.

427803120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 427803120 is about 20683.4020412504. The cubic root of 427803120 is about 753.4966327451.

The spelling of 427803120 in words is "four hundred twenty-seven million, eight hundred three thousand, one hundred twenty".