427376736 has 288 divisors, whose sum is σ = 1381974048. Its totient is φ = 129392640.

The previous prime is 427376713. The next prime is 427376749. The reversal of 427376736 is 637673724.

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

It is a junction number, because it is equal to n+sod(n) for n = 427376691 and 427376700.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7006146 + ... + 7006206.

It is an arithmetic number, because the mean of its divisors is an integer number (4798521).

Almost surely, 2^427376736 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 427376736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690987024).

427376736 is an abundant number, since it is smaller than the sum of its proper divisors (954597312).

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

427376736 is a wasteful number, since it uses less digits than its factorization.

427376736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its digits is 889056, while the sum is 45.

The square root of 427376736 is about 20673.0920764166. The cubic root of 427376736 is about 753.2462171606.

The spelling of 427376736 in words is "four hundred twenty-seven million, three hundred seventy-six thousand, seven hundred thirty-six".