1427952000 has 256 divisors, whose sum is σ = 4811788800. Its totient is φ = 374528000.

The previous prime is 1427951999. The next prime is 1427952013. The reversal of 1427952000 is 2597241.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3407791 + ... + 3408209.

It is an arithmetic number, because the mean of its divisors is an integer number (18796050).

Almost surely, 2^1427952000 is an apocalyptic number.

1427952000 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 1427952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405894400).

1427952000 is an abundant number, since it is smaller than the sum of its proper divisors (3383836800).

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

1427952000 is an equidigital number, since it uses as much as digits as its factorization.

1427952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1427952000 is about 37788.2521426964. The cubic root of 1427952000 is about 1126.0850765504.

The spelling of 1427952000 in words is "one billion, four hundred twenty-seven million, nine hundred fifty-two thousand".