1725792480 has 480 divisors, whose sum is σ = 6465523680. Its totient is φ = 432967680.

The previous prime is 1725792479. The next prime is 1725792493. The reversal of 1725792480 is 842975271.

It is a happy number.

1725792480 is a `hidden beast` number, since 1 + 72 + 579 + 2 + 4 + 8 + 0 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28291650 + ... + 28291710.

It is an arithmetic number, because the mean of its divisors is an integer number (13469841).

Almost surely, 2^1725792480 is an apocalyptic number.

1725792480 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 1725792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232761840).

1725792480 is an abundant number, since it is smaller than the sum of its proper divisors (4739731200).

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

1725792480 is a wasteful number, since it uses less digits than its factorization.

1725792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1725792480 is about 41542.6585571988. The cubic root of 1725792480 is about 1199.4887822446.

The spelling of 1725792480 in words is "one billion, seven hundred twenty-five million, seven hundred ninety-two thousand, four hundred eighty".