427555440 has 240 divisors, whose sum is σ = 1637895168. Its totient is φ = 99016704.

The previous prime is 427555433. The next prime is 427555451. The reversal of 427555440 is 44555724.

It is a happy number.

427555440 is a `hidden beast` number, since 42 + 75 + 5 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 427555395 and 427555404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157777 + ... + 160463.

Almost surely, 2^427555440 is an apocalyptic number.

427555440 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 427555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818947584).

427555440 is an abundant number, since it is smaller than the sum of its proper divisors (1210339728).

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

427555440 is a wasteful number, since it uses less digits than its factorization.

427555440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 427555440 is about 20677.4137647821. The cubic root of 427555440 is about 753.3511903948.

The spelling of 427555440 in words is "four hundred twenty-seven million, five hundred fifty-five thousand, four hundred forty".