427270752 has 72 divisors (see below), whose sum is σ = 1231756344. Its totient is φ = 140465664.

The previous prime is 427270751. The next prime is 427270757. The reversal of 427270752 is 257072724.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427270751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10863 + ... + 31185.

It is an arithmetic number, because the mean of its divisors is an integer number (17107727).

Almost surely, 2^427270752 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 427270752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615878172).

427270752 is an abundant number, since it is smaller than the sum of its proper divisors (804485592).

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

427270752 is a wasteful number, since it uses less digits than its factorization.

427270752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20412 (or 20401 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 427270752 is about 20670.5285854039. The cubic root of 427270752 is about 753.1839468493.

The spelling of 427270752 in words is "four hundred twenty-seven million, two hundred seventy thousand, seven hundred fifty-two".