427367760 has 320 divisors, whose sum is σ = 1526688000. Its totient is φ = 98205696.

The previous prime is 427367753. The next prime is 427367771. The reversal of 427367760 is 67763724.

It is a congruent number.

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, 2868166 + ... + 2868314.

It is an arithmetic number, because the mean of its divisors is an integer number (4770900).

Almost surely, 2^427367760 is an apocalyptic number.

427367760 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 427367760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344000).

427367760 is an abundant number, since it is smaller than the sum of its proper divisors (1099320240).

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

427367760 is a wasteful number, since it uses less digits than its factorization.

427367760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The square root of 427367760 is about 20672.8749814824. The cubic root of 427367760 is about 753.2409437606.

The spelling of 427367760 in words is "four hundred twenty-seven million, three hundred sixty-seven thousand, seven hundred sixty".