1300399632 has 360 divisors, whose sum is σ = 4619376216. Its totient is φ = 339075072.

The previous prime is 1300399621. The next prime is 1300399657. The reversal of 1300399632 is 2369930031.

It is a happy number.

1300399632 is a `hidden beast` number, since 13 + 0 + 0 + 3 + 9 + 9 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 971194896 + 329204736 = 31164^2 + 18144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4438078 + ... + 4438370.

Almost surely, 2^1300399632 is an apocalyptic number.

1300399632 is a gapful number since it is divisible by the number (12) 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 1300399632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309688108).

1300399632 is an abundant number, since it is smaller than the sum of its proper divisors (3318976584).

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

1300399632 is a wasteful number, since it uses less digits than its factorization.

1300399632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 1300399632 is about 36061.0542275181. The cubic root of 1300399632 is about 1091.5047063523.

It can be divided in two parts, 1300399 and 632, that added together give a palindrome (1301031).

The spelling of 1300399632 in words is "one billion, three hundred million, three hundred ninety-nine thousand, six hundred thirty-two".