1730953980 has 288 divisors, whose sum is σ = 6238342656. Its totient is φ = 380256768.

The previous prime is 1730953963. The next prime is 1730954003. The reversal of 1730953980 is 893590371.

It is a happy number.

1730953980 is a `hidden beast` number, since 1 + 7 + 30 + 9 + 539 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4988167 + ... + 4988513.

It is an arithmetic number, because the mean of its divisors is an integer number (21660912).

Almost surely, 2^1730953980 is an apocalyptic number.

1730953980 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 1730953980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119171328).

1730953980 is an abundant number, since it is smaller than the sum of its proper divisors (4507388676).

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

1730953980 is a wasteful number, since it uses less digits than its factorization.

1730953980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1730953980 is about 41604.7350670570. The cubic root of 1730953980 is about 1200.6834023938.

It can be divided in two parts, 17309 and 53980, that added together give a square (71289 = 267²).

The spelling of 1730953980 in words is "one billion, seven hundred thirty million, nine hundred fifty-three thousand, nine hundred eighty".