4630245984 has 576 divisors, whose sum is σ = 17374694400. Its totient is φ = 1188504576.

The previous prime is 4630245967. The next prime is 4630246001. The reversal of 4630245984 is 4895420364.

4630245984 = 165³ + 166³ + ... + 372³.

4630245984 is a `hidden beast` number, since 4 + 6 + 30 + 24 + 598 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4630245967) and next prime (4630246001).

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, 25867207 + ... + 25867385.

It is an arithmetic number, because the mean of its divisors is an integer number (30164400).

Almost surely, 2^4630245984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4630245984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687347200).

4630245984 is an abundant number, since it is smaller than the sum of its proper divisors (12744448416).

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

4630245984 is a wasteful number, since it uses less digits than its factorization.

4630245984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4630245984 is about 68045.9108543636. The cubic root of 4630245984 is about 1666.7406259091.

The spelling of 4630245984 in words is "four billion, six hundred thirty million, two hundred forty-five thousand, nine hundred eighty-four".