427875840 has 360 divisors, whose sum is σ = 1728338040. Its totient is φ = 97542144.

The previous prime is 427875823. The next prime is 427875859. The reversal of 427875840 is 48578724.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128771 + ... + 1129149.

It is an arithmetic number, because the mean of its divisors is an integer number (4800939).

Almost surely, 2^427875840 is an apocalyptic number.

427875840 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 427875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864169020).

427875840 is an abundant number, since it is smaller than the sum of its proper divisors (1300462200).

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

427875840 is a wasteful number, since it uses less digits than its factorization.

427875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 427875840 is about 20685.1598978591. The cubic root of 427875840 is about 753.5393246347.

The spelling of 427875840 in words is "four hundred twenty-seven million, eight hundred seventy-five thousand, eight hundred forty".