630186480 has 480 divisors, whose sum is σ = 2742824448. Its totient is φ = 130636800.

The previous prime is 630186467. The next prime is 630186497. The reversal of 630186480 is 84681036.

It is a happy number.

630186480 is a `hidden beast` number, since 6 + 3 + 0 + 1 + 8 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1496670 + ... + 1497090.

Almost surely, 2^630186480 is an apocalyptic number.

630186480 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 630186480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371412224).

630186480 is an abundant number, since it is smaller than the sum of its proper divisors (2112637968).

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

630186480 is a wasteful number, since it uses less digits than its factorization.

630186480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 630186480 is about 25103.5152916877. The cubic root of 630186480 is about 857.3464630601.

The spelling of 630186480 in words is "six hundred thirty million, one hundred eighty-six thousand, four hundred eighty".