427506864 has 80 divisors (see below), whose sum is σ = 1179448320. Its totient is φ = 133136640.

The previous prime is 427506847. The next prime is 427506881. The reversal of 427506864 is 468605724.

It is an interprime number because it is at equal distance from previous prime (427506847) and next prime (427506881).

It is a super-2 number, since 2×427506864² = 365524237534228992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38199 + ... + 48105.

It is an arithmetic number, because the mean of its divisors is an integer number (14743104).

Almost surely, 2^427506864 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 427506864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589724160).

427506864 is an abundant number, since it is smaller than the sum of its proper divisors (751941456).

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

427506864 is a wasteful number, since it uses less digits than its factorization.

427506864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9978 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 427506864 is about 20676.2391164351. The cubic root of 427506864 is about 753.3226590668.

The spelling of 427506864 in words is "four hundred twenty-seven million, five hundred six thousand, eight hundred sixty-four".