1720742400 has 480 divisors, whose sum is σ = 6819563520. Its totient is φ = 422461440.

The previous prime is 1720742381. The next prime is 1720742423. The reversal of 1720742400 is 42470271.

It is a happy number.

1720742400 is a `hidden beast` number, since 17 + 207 + 42 + 400 = 666.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4492609 + ... + 4492991.

It is an arithmetic number, because the mean of its divisors is an integer number (14207424).

Almost surely, 2^1720742400 is an apocalyptic number.

1720742400 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 1720742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409781760).

1720742400 is an abundant number, since it is smaller than the sum of its proper divisors (5098821120).

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

1720742400 is a wasteful number, since it uses less digits than its factorization.

1720742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 1720742400 is about 41481.8321678298. The cubic root of 1720742400 is about 1198.3176424966.

The spelling of 1720742400 in words is "one billion, seven hundred twenty million, seven hundred forty-two thousand, four hundred".