426360000 has 560 divisors, whose sum is σ = 1713951360. Its totient is φ = 92160000.

The previous prime is 426359959. The next prime is 426360023. The reversal of 426360000 is 63624.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22439991 + ... + 22440009.

Almost surely, 2^426360000 is an apocalyptic number.

426360000 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 426360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856975680).

426360000 is an abundant number, since it is smaller than the sum of its proper divisors (1287591360).

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

426360000 is a wasteful number, since it uses less digits than its factorization.

426360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 426360000 is about 20648.4866273536. The cubic root of 426360000 is about 752.6484146362.

The spelling of 426360000 in words is "four hundred twenty-six million, three hundred sixty thousand".