427409920 has 320 divisors, whose sum is σ = 1315201536. Its totient is φ = 129761280.

The previous prime is 427409909. The next prime is 427409993. The reversal of 427409920 is 29904724.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 427409920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7006690 + ... + 7006750.

Almost surely, 2^427409920 is an apocalyptic number.

427409920 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 427409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657600768).

427409920 is an abundant number, since it is smaller than the sum of its proper divisors (887791616).

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

427409920 is a wasteful number, since it uses less digits than its factorization.

427409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 427409920 is about 20673.8946500170. The cubic root of 427409920 is about 753.2657121193.

The spelling of 427409920 in words is "four hundred twenty-seven million, four hundred nine thousand, nine hundred twenty".