1302401000 has 64 divisors (see below), whose sum is σ = 3055104000. Its totient is φ = 519681600.

The previous prime is 1302400993. The next prime is 1302401011. The reversal of 1302401000 is 1042031.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477641 + ... + 480359.

It is an arithmetic number, because the mean of its divisors is an integer number (47736000).

Almost surely, 2^1302401000 is an apocalyptic number.

1302401000 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 1302401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527552000).

1302401000 is an abundant number, since it is smaller than the sum of its proper divisors (1752703000).

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

1302401000 is a wasteful number, since it uses less digits than its factorization.

1302401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1302401000 is about 36088.7932743670. The cubic root of 1302401000 is about 1092.0643760659.

Adding to 1302401000 its reverse (1042031), we get a palindrome (1303443031).

The spelling of 1302401000 in words is "one billion, three hundred two million, four hundred one thousand".