630614400 has 384 divisors, whose sum is σ = 2323184640. Its totient is φ = 149299200.

The previous prime is 630614381. The next prime is 630614423. The reversal of 630614400 is 4416036.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 3868719 + ... + 3868881.

It is an arithmetic number, because the mean of its divisors is an integer number (6049960).

Almost surely, 2^630614400 is an apocalyptic number.

630614400 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 630614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161592320).

630614400 is an abundant number, since it is smaller than the sum of its proper divisors (1692570240).

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

630614400 is a wasteful number, since it uses less digits than its factorization.

630614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 630614400 is about 25112.0369544169. The cubic root of 630614400 is about 857.5404758382.

It can be divided in two parts, 6306 and 14400, that added together give a triangular number (20706 = T₂₀₃).

The spelling of 630614400 in words is "six hundred thirty million, six hundred fourteen thousand, four hundred".