427289040 has 160 divisors (see below), whose sum is σ = 1478655360. Its totient is φ = 113412096.

The previous prime is 427289017. The next prime is 427289099. The reversal of 427289040 is 40982724.

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

It is a junction number, because it is equal to n+sod(n) for n = 427288986 and 427289004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727627 + ... + 728213.

It is an arithmetic number, because the mean of its divisors is an integer number (9241596).

Almost surely, 2^427289040 is an apocalyptic number.

427289040 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 427289040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739327680).

427289040 is an abundant number, since it is smaller than the sum of its proper divisors (1051366320).

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

427289040 is a wasteful number, since it uses less digits than its factorization.

427289040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 427289040 is about 20670.9709496192. The cubic root of 427289040 is about 753.1946925973.

The spelling of 427289040 in words is "four hundred twenty-seven million, two hundred eighty-nine thousand, forty".