427270400 has 108 divisors (see below), whose sum is σ = 1069647684. Its totient is φ = 168960000.

The previous prime is 427270391. The next prime is 427270409. The reversal of 427270400 is 4072724.

It is an interprime number because it is at equal distance from previous prime (427270391) and next prime (427270409).

It can be written as a sum of positive squares in 6 ways, for example, as 39337984 + 387932416 = 6272^2 + 19696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 427270400.

It is not an unprimeable number, because it can be changed into a prime (427270409) 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, 646070 + ... + 646730.

Almost surely, 2^427270400 is an apocalyptic number.

427270400 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 427270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534823842).

427270400 is an abundant number, since it is smaller than the sum of its proper divisors (642377284).

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

427270400 is a wasteful number, since it uses less digits than its factorization.

427270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 427270400 is about 20670.5200708642. The cubic root of 427270400 is about 753.1837400165.

The spelling of 427270400 in words is "four hundred twenty-seven million, two hundred seventy thousand, four hundred".