1382629050 has 288 divisors, whose sum is σ = 4353560640. Its totient is φ = 311040000.

The previous prime is 1382629043. The next prime is 1382629051. The reversal of 1382629050 is 509262831.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1382628996 and 1382629014.

It is not an unprimeable number, because it can be changed into a prime (1382629051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5736930 + ... + 5737170.

It is an arithmetic number, because the mean of its divisors is an integer number (15116530).

Almost surely, 2^1382629050 is an apocalyptic number.

1382629050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382629050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176780320).

1382629050 is an abundant number, since it is smaller than the sum of its proper divisors (2970931590).

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

1382629050 is a wasteful number, since it uses less digits than its factorization.

1382629050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1382629050 is about 37183.7202280783. The cubic root of 1382629050 is about 1114.0428418963.

The spelling of 1382629050 in words is "one billion, three hundred eighty-two million, six hundred twenty-nine thousand, fifty".