630265440 has 288 divisors, whose sum is σ = 2338689024. Its totient is φ = 142248960.

The previous prime is 630265421. The next prime is 630265457. The reversal of 630265440 is 44562036.

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 = 630265398 and 630265407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2986935 + ... + 2987145.

It is an arithmetic number, because the mean of its divisors is an integer number (8120448).

Almost surely, 2^630265440 is an apocalyptic number.

630265440 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 630265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169344512).

630265440 is an abundant number, since it is smaller than the sum of its proper divisors (1708423584).

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

630265440 is a wasteful number, since it uses less digits than its factorization.

630265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 630265440 is about 25105.0879305371. The cubic root of 630265440 is about 857.3822689957.

The spelling of 630265440 in words is "six hundred thirty million, two hundred sixty-five thousand, four hundred forty".