1426464000 has 576 divisors, whose sum is σ = 5714042880. Its totient is φ = 348364800.

The previous prime is 1426463989. The next prime is 1426464001. The reversal of 1426464000 is 4646241.

1426464000 is a `hidden beast` number, since 14 + 2 + 6 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426464001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11231937 + ... + 11232063.

Almost surely, 2^1426464000 is an apocalyptic number.

1426464000 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 1426464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857021440).

1426464000 is an abundant number, since it is smaller than the sum of its proper divisors (4287578880).

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

1426464000 is a wasteful number, since it uses less digits than its factorization.

1426464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1426464000 is about 37768.5583521532. The cubic root of 1426464000 is about 1125.6937942672.

The spelling of 1426464000 in words is "one billion, four hundred twenty-six million, four hundred sixty-four thousand".