426452000 has 192 divisors, whose sum is σ = 1155772800. Its totient is φ = 153676800.

The previous prime is 426451981. The next prime is 426452041. The reversal of 426452000 is 254624.

It is a super-2 number, since 2×426452000² = 363722616608000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3067931 + ... + 3068069.

It is an arithmetic number, because the mean of its divisors is an integer number (6019650).

Almost surely, 2^426452000 is an apocalyptic number.

426452000 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 426452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

426452000 is an abundant number, since it is smaller than the sum of its proper divisors (729320800).

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

426452000 is a wasteful number, since it uses less digits than its factorization.

426452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 426452000 is about 20650.7142733611. The cubic root of 426452000 is about 752.7025462576.

The spelling of 426452000 in words is "four hundred twenty-six million, four hundred fifty-two thousand".