1426356000 has 384 divisors, whose sum is σ = 5321272320. Its totient is φ = 370944000.

The previous prime is 1426355993. The next prime is 1426356013. The reversal of 1426356000 is 6536241.

1426356000 is a `hidden beast` number, since 1 + 4 + 26 + 35 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5075860 + ... + 5076140.

It is an arithmetic number, because the mean of its divisors is an integer number (13857480).

Almost surely, 2^1426356000 is an apocalyptic number.

1426356000 is a gapful number since it is divisible by the number (10) 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 1426356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660636160).

1426356000 is an abundant number, since it is smaller than the sum of its proper divisors (3894916320).

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

1426356000 is a wasteful number, since it uses less digits than its factorization.

1426356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1426356000 is about 37767.1285644011. The cubic root of 1426356000 is about 1125.6653841570.

The spelling of 1426356000 in words is "one billion, four hundred twenty-six million, three hundred fifty-six thousand".