4682390400 has 576 divisors, whose sum is σ = 18086640000. Its totient is φ = 1149603840.

The previous prime is 4682390371. The next prime is 4682390407. The reversal of 4682390400 is 40932864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4682390407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23529501 + ... + 23529699.

Almost surely, 2^4682390400 is an apocalyptic number.

4682390400 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 4682390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9043320000).

4682390400 is an abundant number, since it is smaller than the sum of its proper divisors (13404249600).

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

4682390400 is a wasteful number, since it uses less digits than its factorization.

4682390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4682390400 is about 68427.9942713507. The cubic root of 4682390400 is about 1672.9740590803.

The spelling of 4682390400 in words is "four billion, six hundred eighty-two million, three hundred ninety thousand, four hundred".