426770800 has 120 divisors (see below), whose sum is σ = 1070661632. Its totient is φ = 163296000.

The previous prime is 426770797. The next prime is 426770807. The reversal of 426770800 is 8077624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426770807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1574665 + ... + 1574935.

Almost surely, 2^426770800 is an apocalyptic number.

426770800 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 426770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535330816).

426770800 is an abundant number, since it is smaller than the sum of its proper divisors (643890832).

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

426770800 is a wasteful number, since it uses less digits than its factorization.

426770800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 426770800 is about 20658.4316926528. The cubic root of 426770800 is about 752.8900638844.

The spelling of 426770800 in words is "four hundred twenty-six million, seven hundred seventy thousand, eight hundred".