4607486400 has 252 divisors, whose sum is σ = 16617636056. Its totient is φ = 1116825600.

The previous prime is 4607486381. The next prime is 4607486461. The reversal of 4607486400 is 46847064.

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 35 ways as a sum of consecutive naturals, for example, 576834 + ... + 584766.

Almost surely, 2^4607486400 is an apocalyptic number.

4607486400 is a gapful number since it is divisible by the number (40) 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 4607486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8308818028).

4607486400 is an abundant number, since it is smaller than the sum of its proper divisors (12010149656).

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

4607486400 is a wasteful number, since it uses less digits than its factorization.

4607486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4607486400 is about 67878.4678672110. The cubic root of 4607486400 is about 1664.0052314308.

The spelling of 4607486400 in words is "four billion, six hundred seven million, four hundred eighty-six thousand, four hundred".