427620720 has 160 divisors (see below), whose sum is σ = 1414409472. Its totient is φ = 106500096.

The previous prime is 427620679. The next prime is 427620751. The reversal of 427620720 is 27026724.

427620720 = T₉ + T₁₀ + ... + T₁₃₆₈.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 664719 + ... + 665361.

Almost surely, 2^427620720 is an apocalyptic number.

427620720 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 427620720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707204736).

427620720 is an abundant number, since it is smaller than the sum of its proper divisors (986788752).

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

427620720 is a wasteful number, since it uses less digits than its factorization.

427620720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 427620720 is about 20678.9922385014. The cubic root of 427620720 is about 753.3895294875.

The spelling of 427620720 in words is "four hundred twenty-seven million, six hundred twenty thousand, seven hundred twenty".