630355440 has 160 divisors (see below), whose sum is σ = 2295853056. Its totient is φ = 141050880.

The previous prime is 630355433. The next prime is 630355463. The reversal of 630355440 is 44553036.

630355440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 630355398 and 630355407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25137 + ... + 43503.

Almost surely, 2^630355440 is an apocalyptic number.

630355440 is a gapful number since it is divisible by the number (60) 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 630355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147926528).

630355440 is an abundant number, since it is smaller than the sum of its proper divisors (1665497616).

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

630355440 is a wasteful number, since it uses less digits than its factorization.

630355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18407 (or 18401 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 630355440 is about 25106.8803318931. The cubic root of 630355440 is about 857.4230775856.

The spelling of 630355440 in words is "six hundred thirty million, three hundred fifty-five thousand, four hundred forty".