427723740 has 288 divisors, whose sum is σ = 1479389184. Its totient is φ = 103265280.

The previous prime is 427723693. The next prime is 427723781. The reversal of 427723740 is 47327724.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 427723695 and 427723704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2561137 + ... + 2561303.

It is an arithmetic number, because the mean of its divisors is an integer number (5136768).

Almost surely, 2^427723740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427723740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739694592).

427723740 is an abundant number, since it is smaller than the sum of its proper divisors (1051665444).

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

427723740 is a wasteful number, since it uses less digits than its factorization.

427723740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 427723740 is about 20681.4830222593. The cubic root of 427723740 is about 753.4500254315.

The spelling of 427723740 in words is "four hundred twenty-seven million, seven hundred twenty-three thousand, seven hundred forty".