1950829440 has 256 divisors, whose sum is σ = 7300523520. Its totient is φ = 433741824.

The previous prime is 1950829429. The next prime is 1950829451. The reversal of 1950829440 is 449280591.

1950829440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1950829429) and next prime (1950829451).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1950829392 and 1950829401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495319 + ... + 499241.

It is an arithmetic number, because the mean of its divisors is an integer number (28517670).

Almost surely, 2^1950829440 is an apocalyptic number.

1950829440 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 1950829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650261760).

1950829440 is an abundant number, since it is smaller than the sum of its proper divisors (5349694080).

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

1950829440 is a wasteful number, since it uses less digits than its factorization.

1950829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1950829440 is about 44168.1948917997. The cubic root of 1950829440 is about 1249.5100885478.

The spelling of 1950829440 in words is "one billion, nine hundred fifty million, eight hundred twenty-nine thousand, four hundred forty".