1790490240 has 576 divisors, whose sum is σ = 7787969280. Its totient is φ = 371036160.

The previous prime is 1790490227. The next prime is 1790490259. The reversal of 1790490240 is 420940971.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1790490195 and 1790490204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4878537 + ... + 4878903.

It is an arithmetic number, because the mean of its divisors is an integer number (13520780).

Almost surely, 2^1790490240 is an apocalyptic number.

1790490240 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 1790490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893984640).

1790490240 is an abundant number, since it is smaller than the sum of its proper divisors (5997479040).

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

1790490240 is a wasteful number, since it uses less digits than its factorization.

1790490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1790490240 is about 42314.1848556722. The cubic root of 1790490240 is about 1214.2943827491.

The spelling of 1790490240 in words is "one billion, seven hundred ninety million, four hundred ninety thousand, two hundred forty".