426873000456 has 512 divisors, whose sum is σ = 1500512256000. Its totient is φ = 109629096192.

The previous prime is 426873000419. The next prime is 426873000457. The reversal of 426873000456 is 654000378624.

It is a super-3 number, since 3×426873000456³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (426873000457) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83911945 + ... + 83917031.

It is an arithmetic number, because the mean of its divisors is an integer number (2930688000).

Almost surely, 2^426873000456 is an apocalyptic number.

426873000456 is a gapful number since it is divisible by the number (46) 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 426873000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750256128000).

426873000456 is an abundant number, since it is smaller than the sum of its proper divisors (1073639255544).

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

426873000456 is a wasteful number, since it uses less digits than its factorization.

426873000456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5278 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 426873000456 in words is "four hundred twenty-six billion, eight hundred seventy-three million, four hundred fifty-six", and thus it is an aban number.