1002836401 has 24 divisors (see below), whose sum is σ = 1193799336. Its totient is φ = 839704320.

The previous prime is 1002836389. The next prime is 1002836407. The reversal of 1002836401 is 1046382001.

1002836401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 88378801 + 914457600 = 9401^2 + 30240^2 .

It is not a de Polignac number, because 1002836401 - 2¹³ = 1002828209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002836407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468205 + ... + 470341.

It is an arithmetic number, because the mean of its divisors is an integer number (49741639).

Almost surely, 2^1002836401 is an apocalyptic number.

It is an amenable number.

1002836401 is a deficient number, since it is larger than the sum of its proper divisors (190962935).

1002836401 is a wasteful number, since it uses less digits than its factorization.

1002836401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1002836401 is about 31667.5922829634. The cubic root of 1002836401 is about 1000.9445744981.

The spelling of 1002836401 in words is "one billion, two million, eight hundred thirty-six thousand, four hundred one".