1006402000 has 80 divisors (see below), whose sum is σ = 2451910032. Its totient is φ = 399513600.

The previous prime is 1006401983. The next prime is 1006402027. The reversal of 1006402000 is 2046001.

It can be written as a sum of positive squares in 8 ways, for example, as 543635856 + 462766144 = 23316^2 + 21512^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272164 + ... + 275836.

Almost surely, 2^1006402000 is an apocalyptic number.

1006402000 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 1006402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225955016).

1006402000 is an abundant number, since it is smaller than the sum of its proper divisors (1445508032).

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

1006402000 is a wasteful number, since it uses less digits than its factorization.

1006402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1006402000 is about 31723.8396162886. The cubic root of 1006402000 is about 1002.1294621721.

Adding to 1006402000 its reverse (2046001), we get a palindrome (1008448001).

The spelling of 1006402000 in words is "one billion, six million, four hundred two thousand".