427424724 has 36 divisors (see below), whose sum is σ = 1081862964. Its totient is φ = 142286592.

The previous prime is 427424719. The next prime is 427424729.

427424724 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (427424719) and next prime (427424729).

It can be written as a sum of positive squares in 2 ways, for example, as 317552400 + 109872324 = 17820^2 + 10482^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427424729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21244 + ... + 36140.

It is an arithmetic number, because the mean of its divisors is an integer number (30051749).

Almost surely, 2^427424724 is an apocalyptic number.

It is an amenable number.

427424724 is an abundant number, since it is smaller than the sum of its proper divisors (654438240).

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

427424724 is a wasteful number, since it uses less digits than its factorization.

427424724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15704 (or 15699 counting only the distinct ones).

The product of its digits is 100352, while the sum is 36.

The square root of 427424724 is about 20674.2526829871. The cubic root of 427424724 is about 753.2744088578.

The spelling of 427424724 in words is "four hundred twenty-seven million, four hundred twenty-four thousand, seven hundred twenty-four".