427917672 has 192 divisors, whose sum is σ = 1437596160. Its totient is φ = 111974400.

The previous prime is 427917671. The next prime is 427917683. The reversal of 427917672 is 276719724.

427917672 is a `hidden beast` number, since 427 + 91 + 76 + 72 = 666.

It is a super-2 number, since 2×427917672² = 366227068019799168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (427917671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1578897 + ... + 1579167.

It is an arithmetic number, because the mean of its divisors is an integer number (7487480).

Almost surely, 2^427917672 is an apocalyptic number.

427917672 is a gapful number since it is divisible by the number (42) 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 427917672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718798080).

427917672 is an abundant number, since it is smaller than the sum of its proper divisors (1009678488).

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

427917672 is a wasteful number, since it uses less digits than its factorization.

427917672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 537 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 427917672 is about 20686.1710328422. The cubic root of 427917672 is about 753.5638808469.

The spelling of 427917672 in words is "four hundred twenty-seven million, nine hundred seventeen thousand, six hundred seventy-two".