1630390440 has 512 divisors, whose sum is σ = 6370099200. Its totient is φ = 325140480.

The previous prime is 1630390373. The next prime is 1630390441. The reversal of 1630390440 is 440930361.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1630390398 and 1630390407.

It is not an unprimeable number, because it can be changed into a prime (1630390441) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 12837657 + ... + 12837783.

It is an arithmetic number, because the mean of its divisors is an integer number (12441600).

Almost surely, 2^1630390440 is an apocalyptic number.

1630390440 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 1630390440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185049600).

1630390440 is an abundant number, since it is smaller than the sum of its proper divisors (4739708760).

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

1630390440 is a wasteful number, since it uses less digits than its factorization.

1630390440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1630390440 is about 40378.0935656948. The cubic root of 1630390440 is about 1176.9658812430.

The spelling of 1630390440 in words is "one billion, six hundred thirty million, three hundred ninety thousand, four hundred forty".