427775040 has 448 divisors, whose sum is σ = 1884395520. Its totient is φ = 88750080.

The previous prime is 427775003. The next prime is 427775053. The reversal of 427775040 is 40577724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 427774986 and 427775004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664959 + ... + 665601.

It is an arithmetic number, because the mean of its divisors is an integer number (4206240).

Almost surely, 2^427775040 is an apocalyptic number.

427775040 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 427775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942197760).

427775040 is an abundant number, since it is smaller than the sum of its proper divisors (1456620480).

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

427775040 is a wasteful number, since it uses less digits than its factorization.

427775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 427775040 is about 20682.7232249528. The cubic root of 427775040 is about 753.4801464633.

The spelling of 427775040 in words is "four hundred twenty-seven million, seven hundred seventy-five thousand, forty".