426216000 has 448 divisors, whose sum is σ = 1673717760. Its totient is φ = 93542400.

The previous prime is 426215969. The next prime is 426216017. The reversal of 426216000 is 612624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×426216000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7223971 + ... + 7224029.

Almost surely, 2^426216000 is an apocalyptic number.

426216000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836858880).

426216000 is an abundant number, since it is smaller than the sum of its proper divisors (1247501760).

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

426216000 is a wasteful number, since it uses less digits than its factorization.

426216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 426216000 is about 20644.9993945265. Note that the first 3 decimals coincide. The cubic root of 426216000 is about 752.5636712459.

Adding to 426216000 its reverse (612624), we get a palindrome (426828624).

The spelling of 426216000 in words is "four hundred twenty-six million, two hundred sixteen thousand".