427785120 has 432 divisors, whose sum is σ = 1769983488. Its totient is φ = 92067840.

The previous prime is 427785097. The next prime is 427785143. The reversal of 427785120 is 21587724.

It is an interprime number because it is at equal distance from previous prime (427785097) and next prime (427785143).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11561742 + ... + 11561778.

It is an arithmetic number, because the mean of its divisors is an integer number (4097184).

Almost surely, 2^427785120 is an apocalyptic number.

427785120 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 427785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884991744).

427785120 is an abundant number, since it is smaller than the sum of its proper divisors (1342198368).

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

427785120 is a wasteful number, since it uses less digits than its factorization.

427785120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 427785120 is about 20682.9669051614. The cubic root of 427785120 is about 753.4860646988.

The spelling of 427785120 in words is "four hundred twenty-seven million, seven hundred eighty-five thousand, one hundred twenty".