427034880 has 216 divisors, whose sum is σ = 1556056320. Its totient is φ = 107827200.

The previous prime is 427034879. The next prime is 427034911. The reversal of 427034880 is 88430724.

It is a super-2 number, since 2×427034880² = 364717577473228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 217905 + ... + 219855.

Almost surely, 2^427034880 is an apocalyptic number.

427034880 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 427034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778028160).

427034880 is an abundant number, since it is smaller than the sum of its proper divisors (1129021440).

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

427034880 is a wasteful number, since it uses less digits than its factorization.

427034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 427034880 is about 20664.8222832910. The cubic root of 427034880 is about 753.0453245946.

The spelling of 427034880 in words is "four hundred twenty-seven million, thirty-four thousand, eight hundred eighty".