1426248000 has 560 divisors, whose sum is σ = 5523268608. Its totient is φ = 362880000.

The previous prime is 1426247993. The next prime is 1426248011. The reversal of 1426248000 is 8426241.

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

It is a congruent number.

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, 20087965 + ... + 20088035.

Almost surely, 2^1426248000 is an apocalyptic number.

1426248000 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 1426248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761634304).

1426248000 is an abundant number, since it is smaller than the sum of its proper divisors (4097020608).

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

1426248000 is an equidigital number, since it uses as much as digits as its factorization.

1426248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1426248000 is about 37765.6987225180. The cubic root of 1426248000 is about 1125.6369726127.

The spelling of 1426248000 in words is "one billion, four hundred twenty-six million, two hundred forty-eight thousand".