630470400 has 216 divisors, whose sum is σ = 2378431104. Its totient is φ = 144076800.

The previous prime is 630470377. The next prime is 630470419. The reversal of 630470400 is 4074036.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132055 + ... + 136745.

Almost surely, 2^630470400 is an apocalyptic number.

630470400 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 630470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189215552).

630470400 is an abundant number, since it is smaller than the sum of its proper divisors (1747960704).

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

630470400 is a wasteful number, since it uses less digits than its factorization.

630470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 630470400 is about 25109.1696397949. The cubic root of 630470400 is about 857.4751981085.

The spelling of 630470400 in words is "six hundred thirty million, four hundred seventy thousand, four hundred".