1829121460 has 72 divisors (see below), whose sum is σ = 4258114560. Its totient is φ = 658622976.

The previous prime is 1829121457. The next prime is 1829121461. The reversal of 1829121460 is 641219281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829121461) 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, 126061 + ... + 139819.

It is an arithmetic number, because the mean of its divisors is an integer number (59140480).

Almost surely, 2^1829121460 is an apocalyptic number.

1829121460 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 1829121460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129057280).

1829121460 is an abundant number, since it is smaller than the sum of its proper divisors (2428993100).

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

1829121460 is a wasteful number, since it uses less digits than its factorization.

1829121460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13825 (or 13806 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1829121460 is about 42768.2295635440. The cubic root of 1829121460 is about 1222.9654323780.

The spelling of 1829121460 in words is "one billion, eight hundred twenty-nine million, one hundred twenty-one thousand, four hundred sixty".