630263040 has 288 divisors, whose sum is σ = 2253436416. Its totient is φ = 148807680.

The previous prime is 630263021. The next prime is 630263057. The reversal of 630263040 is 40362036.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 630263040.

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, 1816147 + ... + 1816493.

It is an arithmetic number, because the mean of its divisors is an integer number (7824432).

Almost surely, 2^630263040 is an apocalyptic number.

630263040 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 630263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126718208).

630263040 is an abundant number, since it is smaller than the sum of its proper divisors (1623173376).

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

630263040 is a wasteful number, since it uses less digits than its factorization.

630263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 630263040 is about 25105.0401314158. The cubic root of 630263040 is about 857.3811807135.

It can be divided in two parts, 63026 and 3040, that added together give a palindrome (66066).

The spelling of 630263040 in words is "six hundred thirty million, two hundred sixty-three thousand, forty".