427770720 has 240 divisors, whose sum is σ = 1626443280. Its totient is φ = 105255936.

The previous prime is 427770719. The next prime is 427770743. The reversal of 427770720 is 27077724.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 167211 + ... + 169749.

It is an arithmetic number, because the mean of its divisors is an integer number (6776847).

Almost surely, 2^427770720 is an apocalyptic number.

427770720 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 427770720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813221640).

427770720 is an abundant number, since it is smaller than the sum of its proper divisors (1198672560).

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

427770720 is a wasteful number, since it uses less digits than its factorization.

427770720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 427770720 is about 20682.6187896988. The cubic root of 427770720 is about 753.4776100482.

The spelling of 427770720 in words is "four hundred twenty-seven million, seven hundred seventy thousand, seven hundred twenty".