427214880 has 144 divisors (see below), whose sum is σ = 1521374400. Its totient is φ = 108962304.

The previous prime is 427214807. The next prime is 427214897. The reversal of 427214880 is 88412724.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26671 + ... + 39569.

It is an arithmetic number, because the mean of its divisors is an integer number (10565100).

Almost surely, 2^427214880 is an apocalyptic number.

427214880 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 427214880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760687200).

427214880 is an abundant number, since it is smaller than the sum of its proper divisors (1094159520).

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

427214880 is a wasteful number, since it uses less digits than its factorization.

427214880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12943 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 427214880 is about 20669.1770518325. The cubic root of 427214880 is about 753.1511154205.

The spelling of 427214880 in words is "four hundred twenty-seven million, two hundred fourteen thousand, eight hundred eighty".