426334800 has 120 divisors (see below), whose sum is σ = 1412900640. Its totient is φ = 109760000.

The previous prime is 426334793. The next prime is 426334807. The reversal of 426334800 is 8433624.

It is an interprime number because it is at equal distance from previous prime (426334793) and next prime (426334807).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×426334800² = 363522723382080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426334807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28675 + ... + 40925.

It is an arithmetic number, because the mean of its divisors is an integer number (11774172).

Almost surely, 2^426334800 is an apocalyptic number.

426334800 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 426334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706450320).

426334800 is an abundant number, since it is smaller than the sum of its proper divisors (986565840).

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

426334800 is a wasteful number, since it uses less digits than its factorization.

426334800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12301 (or 12290 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 426334800 is about 20647.8764041245. The cubic root of 426334800 is about 752.6335859204.

It can be divided in two parts, 4263 and 34800, that multiplied together give a square (148352400 = 12180²).

The spelling of 426334800 in words is "four hundred twenty-six million, three hundred thirty-four thousand, eight hundred".