1600480 has 48 divisors (see below), whose sum is σ = 4324320. Its totient is φ = 548352.

The previous prime is 1600451. The next prime is 1600483. The reversal of 1600480 is 840061.

1600480 is a modest number, since divided by 480 gives 160 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406 + ... + 1834.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

2^1600480 is an apocalyptic number.

1600480 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 1600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162160).

1600480 is an abundant number, since it is smaller than the sum of its proper divisors (2723840).

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

1600480 is a wasteful number, since it uses less digits than its factorization.

1600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1600480 is about 1265.1007864988. The cubic root of 1600480 is about 116.9724044301.

It can be divided in two parts, 1600 and 480, that added together give a triangular number (2080 = T₆₄).

The spelling of 1600480 in words is "one million, six hundred thousand, four hundred eighty".