427242816 has 672 divisors, whose sum is σ = 1784908800. Its totient is φ = 97044480.

The previous prime is 427242799. The next prime is 427242817. The reversal of 427242816 is 618242724.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (43008) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427242817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22486455 + ... + 22486473.

Almost surely, 2^427242816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892454400).

427242816 is an abundant number, since it is smaller than the sum of its proper divisors (1357665984).

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

427242816 is a wasteful number, since it uses less digits than its factorization.

427242816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 55 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 427242816 is about 20669.8528296648. The cubic root of 427242816 is about 753.1675314927.

The spelling of 427242816 in words is "four hundred twenty-seven million, two hundred forty-two thousand, eight hundred sixteen".