427440000 has 320 divisors, whose sum is σ = 1539069840. Its totient is φ = 104448000.

The previous prime is 427439897. The next prime is 427440001. The reversal of 427440000 is 44724.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427440001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3119932 + ... + 3120068.

Almost surely, 2^427440000 is an apocalyptic number.

427440000 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 427440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769534920).

427440000 is an abundant number, since it is smaller than the sum of its proper divisors (1111629840).

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

427440000 is a wasteful number, since it uses less digits than its factorization.

427440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 427440000 is about 20674.6221247209. The cubic root of 427440000 is about 753.2833826662.

Adding to 427440000 its reverse (44724), we get a palindrome (427484724).

The spelling of 427440000 in words is "four hundred twenty-seven million, four hundred forty thousand".