1438290000 has 400 divisors, whose sum is σ = 5903610240. Its totient is φ = 328320000.

The previous prime is 1438289971. The next prime is 1438290017. The reversal of 1438290000 is 928341.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 1889620 + ... + 1890380.

Almost surely, 2^1438290000 is an apocalyptic number.

1438290000 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 1438290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951805120).

1438290000 is an abundant number, since it is smaller than the sum of its proper divisors (4465320240).

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

1438290000 is an equidigital number, since it uses as much as digits as its factorization.

1438290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1438290000 is about 37924.7940007589. The cubic root of 1438290000 is about 1128.7960654923.

The spelling of 1438290000 in words is "one billion, four hundred thirty-eight million, two hundred ninety thousand".