1027404000 has 576 divisors, whose sum is σ = 4350108672. Its totient is φ = 233280000.

The previous prime is 1027403987. The next prime is 1027404013. The reversal of 1027404000 is 4047201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1027403987) and next prime (1027404013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6803925 + ... + 6804075.

It is an arithmetic number, because the mean of its divisors is an integer number (7552272).

Almost surely, 2^1027404000 is an apocalyptic number.

1027404000 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 1027404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175054336).

1027404000 is an abundant number, since it is smaller than the sum of its proper divisors (3322704672).

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

1027404000 is an equidigital number, since it uses as much as digits as its factorization.

1027404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1027404000 is about 32053.1433715946. The cubic root of 1027404000 is about 1009.0524721398.

The spelling of 1027404000 in words is "one billion, twenty-seven million, four hundred four thousand".