426647246400 has 504 divisors, whose sum is σ = 1603568698368. Its totient is φ = 107412480000.

The previous prime is 426647246393. The next prime is 426647246407. The reversal of 426647246400 is 4642746624.

426647246400 is a `hidden beast` number, since 42 + 66 + 472 + 46 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (426647246393) and next prime (426647246407).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (426647246407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18290745 + ... + 18314055.

Almost surely, 2^426647246400 is an apocalyptic number.

426647246400 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 426647246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801784349184).

426647246400 is an abundant number, since it is smaller than the sum of its proper divisors (1176921451968).

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

426647246400 is a wasteful number, since it uses less digits than its factorization.

426647246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23411 (or 23393 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 426647246400 in words is "four hundred twenty-six billion, six hundred forty-seven million, two hundred forty-six thousand, four hundred".