427309920 has 288 divisors, whose sum is σ = 1529079552. Its totient is φ = 108573696.

The previous prime is 427309873. The next prime is 427309951. The reversal of 427309920 is 29903724.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4148589 + ... + 4148691.

It is an arithmetic number, because the mean of its divisors is an integer number (5309304).

Almost surely, 2^427309920 is an apocalyptic number.

427309920 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 427309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764539776).

427309920 is an abundant number, since it is smaller than the sum of its proper divisors (1101769632).

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

427309920 is a wasteful number, since it uses less digits than its factorization.

427309920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 427309920 is about 20671.4759995507. The cubic root of 427309920 is about 753.2069609899.

It can be divided in two parts, 42730 and 9920, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 427309920 in words is "four hundred twenty-seven million, three hundred nine thousand, nine hundred twenty".