4662288400 has 480 divisors, whose sum is σ = 15233310720. Its totient is φ = 1327104000.

The previous prime is 4662288353. The next prime is 4662288401. The reversal of 4662288400 is 48822664.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4662288401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18141072 + ... + 18141328.

It is an arithmetic number, because the mean of its divisors is an integer number (31736064).

Almost surely, 2^4662288400 is an apocalyptic number.

4662288400 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 4662288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7616655360).

4662288400 is an abundant number, since it is smaller than the sum of its proper divisors (10571022320).

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

4662288400 is a wasteful number, since it uses less digits than its factorization.

4662288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 4662288400 is about 68280.9519558713. The cubic root of 4662288400 is about 1670.5765396745.

The spelling of 4662288400 in words is "four billion, six hundred sixty-two million, two hundred eighty-eight thousand, four hundred".