1426252800 has 396 divisors, whose sum is σ = 5497914480. Its totient is φ = 325140480.

The previous prime is 1426252787. The next prime is 1426252811. The reversal of 1426252800 is 82526241.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3763011 + ... + 3763389.

Almost surely, 2^1426252800 is an apocalyptic number.

1426252800 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 1426252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748957240).

1426252800 is an abundant number, since it is smaller than the sum of its proper divisors (4071661680).

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

1426252800 is a wasteful number, since it uses less digits than its factorization.

1426252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1426252800 is about 37765.7622721957. The cubic root of 1426252800 is about 1125.6382353785.

The spelling of 1426252800 in words is "one billion, four hundred twenty-six million, two hundred fifty-two thousand, eight hundred".