426213504 has 96 divisors (see below), whose sum is σ = 1230793200. Its totient is φ = 141571584.

The previous prime is 426213503. The next prime is 426213517. The reversal of 426213504 is 405312624.

426213504 is a `hidden beast` number, since 4 + 2 + 621 + 35 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (426213503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482247 + ... + 483129.

Almost surely, 2^426213504 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 426213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615396600).

426213504 is an abundant number, since it is smaller than the sum of its proper divisors (804579696).

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

426213504 is a wasteful number, since it uses less digits than its factorization.

426213504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 426213504 is about 20644.9389439640. The cubic root of 426213504 is about 752.5622021922.

It can be divided in two parts, 4262 and 13504, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 426213504 in words is "four hundred twenty-six million, two hundred thirteen thousand, five hundred four".