427401000 has 288 divisors, whose sum is σ = 1569854520. Its totient is φ = 104832000.

The previous prime is 427400989. The next prime is 427401011. The reversal of 427401000 is 104724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (427400989) and next prime (427401011).

It can be written as a sum of positive squares in 12 ways, for example, as 103184964 + 324216036 = 10158^2 + 18006^2 .

It is a super-2 number, since 2×427401000² = 365343229602000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1520860 + ... + 1521140.

Almost surely, 2^427401000 is an apocalyptic number.

427401000 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 427401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784927260).

427401000 is an abundant number, since it is smaller than the sum of its proper divisors (1142453520).

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

427401000 is a wasteful number, since it uses less digits than its factorization.

427401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 427401000 is about 20673.6789178898. The cubic root of 427401000 is about 753.2604718909.

Adding to 427401000 its reverse (104724), we get a palindrome (427505724).

The spelling of 427401000 in words is "four hundred twenty-seven million, four hundred one thousand".