427780000 has 120 divisors (see below), whose sum is σ = 1070460468. Its totient is φ = 168192000.

The previous prime is 427779997. The next prime is 427780033. The reversal of 427780000 is 87724.

It can be written as a sum of positive squares in 10 ways, for example, as 283024 + 427496976 = 532^2 + 20676^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1459854 + ... + 1460146.

Almost surely, 2^427780000 is an apocalyptic number.

427780000 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 427780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535230234).

427780000 is an abundant number, since it is smaller than the sum of its proper divisors (642680468).

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

427780000 is an equidigital number, since it uses as much as digits as its factorization.

427780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 427780000 is about 20682.8431314459. The cubic root of 427780000 is about 753.4830586225.

The spelling of 427780000 in words is "four hundred twenty-seven million, seven hundred eighty thousand".