427464288 has 72 divisors (see below), whose sum is σ = 1233800568. Its totient is φ = 140355072.

The previous prime is 427464283. The next prime is 427464307. The reversal of 427464288 is 882464724.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427464281) 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, 8220 + ... + 30372.

It is an arithmetic number, because the mean of its divisors is an integer number (17136119).

Almost surely, 2^427464288 is an apocalyptic number.

427464288 is a gapful number since it is divisible by the number (48) 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 427464288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616900284).

427464288 is an abundant number, since it is smaller than the sum of its proper divisors (806336280).

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

427464288 is a wasteful number, since it uses less digits than its factorization.

427464288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22236 (or 22225 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 427464288 is about 20675.2095031707. The cubic root of 427464288 is about 753.2976500880.

The spelling of 427464288 in words is "four hundred twenty-seven million, four hundred sixty-four thousand, two hundred eighty-eight".