427736760 has 128 divisors (see below), whose sum is σ = 1445160960. Its totient is φ = 100339200.

The previous prime is 427736737. The next prime is 427736783. The reversal of 427736760 is 67637724.

It is an interprime number because it is at equal distance from previous prime (427736737) and next prime (427736783).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35694 + ... + 46146.

It is an arithmetic number, because the mean of its divisors is an integer number (11290320).

Almost surely, 2^427736760 is an apocalyptic number.

427736760 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 427736760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722580480).

427736760 is an abundant number, since it is smaller than the sum of its proper divisors (1017424200).

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

427736760 is a wasteful number, since it uses less digits than its factorization.

427736760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10509 (or 10505 counting only the distinct ones).

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

The square root of 427736760 is about 20681.7977941957. The cubic root of 427736760 is about 753.4576704126.

The spelling of 427736760 in words is "four hundred twenty-seven million, seven hundred thirty-six thousand, seven hundred sixty".