1629417944 has 96 divisors (see below), whose sum is σ = 3861043200. Its totient is φ = 631012800.

The previous prime is 1629417943. The next prime is 1629417967. The reversal of 1629417944 is 4497149261.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1629417943) 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, 1293587 + ... + 1294845.

It is an arithmetic number, because the mean of its divisors is an integer number (40219200).

Almost surely, 2^1629417944 is an apocalyptic number.

1629417944 is a gapful number since it is divisible by the number (14) 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 1629417944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930521600).

1629417944 is an abundant number, since it is smaller than the sum of its proper divisors (2231625256).

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

1629417944 is a wasteful number, since it uses less digits than its factorization.

1629417944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1470 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 1629417944 is about 40366.0493979780. The cubic root of 1629417944 is about 1176.7318223258.

It can be divided in two parts, 1629417 and 944, that added together give a palindrome (1630361).

The spelling of 1629417944 in words is "one billion, six hundred twenty-nine million, four hundred seventeen thousand, nine hundred forty-four".