427170240 has 336 divisors, whose sum is σ = 1754733600. Its totient is φ = 97542144.

The previous prime is 427170223. The next prime is 427170253. The reversal of 427170240 is 42071724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422856 + ... + 423864.

Almost surely, 2^427170240 is an apocalyptic number.

427170240 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 427170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877366800).

427170240 is an abundant number, since it is smaller than the sum of its proper divisors (1327563360).

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

427170240 is a wasteful number, since it uses less digits than its factorization.

427170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 427170240 is about 20668.0971547939. The cubic root of 427170240 is about 753.1248820670.

The spelling of 427170240 in words is "four hundred twenty-seven million, one hundred seventy thousand, two hundred forty".