4601290400 has 288 divisors, whose sum is σ = 13465388160. Its totient is φ = 1502392320.

The previous prime is 4601290381. The next prime is 4601290403. The reversal of 4601290400 is 40921064.

It is a self number, because there is not a number n which added to its sum of digits gives 4601290400.

It is not an unprimeable number, because it can be changed into a prime (4601290403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10981391 + ... + 10981809.

It is an arithmetic number, because the mean of its divisors is an integer number (46754820).

Almost surely, 2^4601290400 is an apocalyptic number.

4601290400 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 4601290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732694080).

4601290400 is an abundant number, since it is smaller than the sum of its proper divisors (8864097760).

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

4601290400 is a wasteful number, since it uses less digits than its factorization.

4601290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4601290400 is about 67832.8121192097. The cubic root of 4601290400 is about 1663.2589965301.

The spelling of 4601290400 in words is "four billion, six hundred one million, two hundred ninety thousand, four hundred".