1763483040 has 432 divisors, whose sum is σ = 6862401000. Its totient is φ = 411586560.

The previous prime is 1763483027. The next prime is 1763483041. The reversal of 1763483040 is 403843671.

1763483040 is a `hidden beast` number, since 1 + 7 + 6 + 348 + 304 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1578631824 + 184851216 = 39732^2 + 13596^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1763482986 and 1763483004.

It is not an unprimeable number, because it can be changed into a prime (1763483041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5052786 + ... + 5053134.

Almost surely, 2^1763483040 is an apocalyptic number.

1763483040 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 1763483040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431200500).

1763483040 is an abundant number, since it is smaller than the sum of its proper divisors (5098917960).

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

1763483040 is a wasteful number, since it uses less digits than its factorization.

1763483040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1763483040 is about 41993.8452633240. The cubic root of 1763483040 is about 1208.1580791038.

The spelling of 1763483040 in words is "one billion, seven hundred sixty-three million, four hundred eighty-three thousand, forty".