427713000 has 256 divisors, whose sum is σ = 1569335040. Its totient is φ = 95616000.

The previous prime is 427712981. The next prime is 427713001. The reversal of 427713000 is 317724.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (427713001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428502 + ... + 429498.

It is an arithmetic number, because the mean of its divisors is an integer number (6130215).

Almost surely, 2^427713000 is an apocalyptic number.

427713000 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 427713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784667520).

427713000 is an abundant number, since it is smaller than the sum of its proper divisors (1141622040).

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

427713000 is a wasteful number, since it uses less digits than its factorization.

427713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 427713000 is about 20681.2233680699. The cubic root of 427713000 is about 753.4437190860.

The spelling of 427713000 in words is "four hundred twenty-seven million, seven hundred thirteen thousand".