427741000 has 64 divisors (see below), whose sum is σ = 1004056560. Its totient is φ = 170560000.

The previous prime is 427740949. The next prime is 427741021. The reversal of 427741000 is 147724.

It can be written as a sum of positive squares in 8 ways, for example, as 988036 + 426752964 = 994^2 + 20658^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 520590 + ... + 521410.

Almost surely, 2^427741000 is an apocalyptic number.

427741000 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 427741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502028280).

427741000 is an abundant number, since it is smaller than the sum of its proper divisors (576315560).

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

427741000 is a wasteful number, since it uses less digits than its factorization.

427741000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 427741000 is about 20681.9002995373. The cubic root of 427741000 is about 753.4601599890.

Adding to 427741000 its reverse (147724), we get a palindrome (427888724).

The spelling of 427741000 in words is "four hundred twenty-seven million, seven hundred forty-one thousand".