1383829920 has 480 divisors, whose sum is σ = 5651021376. Its totient is φ = 315187200.

The previous prime is 1383829877. The next prime is 1383829921. The reversal of 1383829920 is 299283831.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1383829921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2423235 + ... + 2423805.

Almost surely, 2^1383829920 is an apocalyptic number.

1383829920 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 1383829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825510688).

1383829920 is an abundant number, since it is smaller than the sum of its proper divisors (4267191456).

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

1383829920 is a wasteful number, since it uses less digits than its factorization.

1383829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1383829920 is about 37199.8645158823. The cubic root of 1383829920 is about 1114.3652791876.

The spelling of 1383829920 in words is "one billion, three hundred eighty-three million, eight hundred twenty-nine thousand, nine hundred twenty".