630479520 has 288 divisors, whose sum is σ = 2394572544. Its totient is φ = 149760000.

The previous prime is 630479513. The next prime is 630479557. The reversal of 630479520 is 25974036.

630479520 is a `hidden beast` number, since 63 + 0 + 4 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 839145 + ... + 839895.

It is an arithmetic number, because the mean of its divisors is an integer number (8314488).

Almost surely, 2^630479520 is an apocalyptic number.

630479520 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 630479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197286272).

630479520 is an abundant number, since it is smaller than the sum of its proper divisors (1764093024).

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

630479520 is a wasteful number, since it uses less digits than its factorization.

630479520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 630479520 is about 25109.3512460995. The cubic root of 630479520 is about 857.4793326596.

The spelling of 630479520 in words is "six hundred thirty million, four hundred seventy-nine thousand, five hundred twenty".