4200465280 has 256 divisors, whose sum is σ = 11914905600. Its totient is φ = 1398988800.

The previous prime is 4200465253. The next prime is 4200465289. The reversal of 4200465280 is 825640024.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200465289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4146054 + ... + 4147066.

It is an arithmetic number, because the mean of its divisors is an integer number (46542600).

Almost surely, 2^4200465280 is an apocalyptic number.

4200465280 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 4200465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957452800).

4200465280 is an abundant number, since it is smaller than the sum of its proper divisors (7714440320).

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

4200465280 is a wasteful number, since it uses less digits than its factorization.

4200465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 4200465280 is about 64810.9965977997. The cubic root of 4200465280 is about 1613.4882228786.

The spelling of 4200465280 in words is "four billion, two hundred million, four hundred sixty-five thousand, two hundred eighty".