1630873440 has 240 divisors, whose sum is σ = 6578222112. Its totient is φ = 372750336.

The previous prime is 1630873429. The next prime is 1630873459. The reversal of 1630873440 is 443780361.

1630873440 is a `hidden beast` number, since 1 + 6 + 308 + 7 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1630873395 and 1630873404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81732 + ... + 99708.

Almost surely, 2^1630873440 is an apocalyptic number.

1630873440 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 1630873440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289111056).

1630873440 is an abundant number, since it is smaller than the sum of its proper divisors (4947348672).

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

1630873440 is a wasteful number, since it uses less digits than its factorization.

1630873440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18011 (or 17994 counting only the distinct ones).

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

The square root of 1630873440 is about 40384.0740886801. The cubic root of 1630873440 is about 1177.0820943863.

The spelling of 1630873440 in words is "one billion, six hundred thirty million, eight hundred seventy-three thousand, four hundred forty".