630080400 has 240 divisors, whose sum is σ = 2166539904. Its totient is φ = 156119040.

The previous prime is 630080389. The next prime is 630080417. The reversal of 630080400 is 4080036.

630080400 = 5223² + 5224² + ... + 5245².

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1020892 + ... + 1021508.

Almost surely, 2^630080400 is an apocalyptic number.

630080400 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 630080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083269952).

630080400 is an abundant number, since it is smaller than the sum of its proper divisors (1536459504).

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

630080400 is a wasteful number, since it uses less digits than its factorization.

630080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 630080400 is about 25101.4023512632. The cubic root of 630080400 is about 857.2983543287.

The spelling of 630080400 in words is "six hundred thirty million, eighty thousand, four hundred".