630278400 has 216 divisors, whose sum is σ = 2203546464. Its totient is φ = 158105600.

The previous prime is 630278399. The next prime is 630278401. The reversal of 630278400 is 4872036.

It is an interprime number because it is at equal distance from previous prime (630278399) and next prime (630278401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (630278401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325435 + ... + 327365.

It is an arithmetic number, because the mean of its divisors is an integer number (10201604).

Almost surely, 2^630278400 is an apocalyptic number.

630278400 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 630278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101773232).

630278400 is an abundant number, since it is smaller than the sum of its proper divisors (1573268064).

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

630278400 is a wasteful number, since it uses less digits than its factorization.

630278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 630278400 is about 25105.3460442193. The cubic root of 630278400 is about 857.3881456721.

The spelling of 630278400 in words is "six hundred thirty million, two hundred seventy-eight thousand, four hundred".