4200628464 has 160 divisors (see below), whose sum is σ = 13179156480. Its totient is φ = 1275264000.

The previous prime is 4200628459. The next prime is 4200628489. The reversal of 4200628464 is 4648260024.

It is a happy number.

4200628464 is a `hidden beast` number, since 4 + 20 + 0 + 628 + 4 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218439 + ... + 236889.

It is an arithmetic number, because the mean of its divisors is an integer number (82369728).

Almost surely, 2^4200628464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200628464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589578240).

4200628464 is an abundant number, since it is smaller than the sum of its proper divisors (8978528016).

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

4200628464 is a wasteful number, since it uses less digits than its factorization.

4200628464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18516 (or 18504 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4200628464 is about 64812.2555077356. The cubic root of 4200628464 is about 1613.5091167586.

Adding to 4200628464 its reverse (4648260024), we get a palindrome (8848888488).

The spelling of 4200628464 in words is "four billion, two hundred million, six hundred twenty-eight thousand, four hundred sixty-four".