427271760 has 240 divisors, whose sum is σ = 1538234880. Its totient is φ = 110108160.

The previous prime is 427271749. The next prime is 427271771. The reversal of 427271760 is 67172724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (427271749) and next prime (427271771).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×427271760² = 365122313786995200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602286 + ... + 602994.

It is an arithmetic number, because the mean of its divisors is an integer number (6409312).

Almost surely, 2^427271760 is an apocalyptic number.

427271760 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 427271760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769117440).

427271760 is an abundant number, since it is smaller than the sum of its proper divisors (1110963120).

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

427271760 is a wasteful number, since it uses less digits than its factorization.

427271760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 427271760 is about 20670.5529679300. The cubic root of 427271760 is about 753.1845391426.

The spelling of 427271760 in words is "four hundred twenty-seven million, two hundred seventy-one thousand, seven hundred sixty".