426414624 has 48 divisors (see below), whose sum is σ = 1122115680. Its totient is φ = 141785600.

The previous prime is 426414559. The next prime is 426414643.

426414624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×426414624² = 363658863122122752, which contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 34924 + ... + 45524.

It is an arithmetic number, because the mean of its divisors is an integer number (23377410).

Almost surely, 2^426414624 is an apocalyptic number.

It is an amenable number.

426414624 is an abundant number, since it is smaller than the sum of its proper divisors (695701056).

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

426414624 is a wasteful number, since it uses less digits than its factorization.

426414624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11033 (or 11025 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 426414624 is about 20649.8092969403. The cubic root of 426414624 is about 752.6805556370.

The spelling of 426414624 in words is "four hundred twenty-six million, four hundred fourteen thousand, six hundred twenty-four".