426400800 has 288 divisors, whose sum is σ = 1680642432. Its totient is φ = 91668480.

The previous prime is 426400763. The next prime is 426400813. The reversal of 426400800 is 8004624.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284854 + ... + 286346.

It is an arithmetic number, because the mean of its divisors is an integer number (5835564).

Almost surely, 2^426400800 is an apocalyptic number.

426400800 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 426400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840321216).

426400800 is an abundant number, since it is smaller than the sum of its proper divisors (1254241632).

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

426400800 is a wasteful number, since it uses less digits than its factorization.

426400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 426400800 is about 20649.4745695865. The cubic root of 426400800 is about 752.6724217943.

The spelling of 426400800 in words is "four hundred twenty-six million, four hundred thousand, eight hundred".