1732416480 has 72 divisors (see below), whose sum is σ = 5911876152. Its totient is φ = 461977344.

The previous prime is 1732416451. The next prime is 1732416487. The reversal of 1732416480 is 846142371.

1732416480 is a `hidden beast` number, since 1 + 7 + 3 + 2 + 4 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1732416487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600094 + ... + 602973.

It is an arithmetic number, because the mean of its divisors is an integer number (82109391).

Almost surely, 2^1732416480 is an apocalyptic number.

1732416480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1732416480 is an abundant number, since it is smaller than the sum of its proper divisors (4179459672).

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

1732416480 is a wasteful number, since it uses less digits than its factorization.

1732416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203088 (or 1203077 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1732416480 is about 41622.3074804845. The cubic root of 1732416480 is about 1201.0214635967.

The spelling of 1732416480 in words is "one billion, seven hundred thirty-two million, four hundred sixteen thousand, four hundred eighty".