620222400 has 504 divisors, whose sum is σ = 2639049840. Its totient is φ = 141281280.

The previous prime is 620222371. The next prime is 620222413. The reversal of 620222400 is 4222026.

It is a happy number.

620222400 is a `hidden beast` number, since 620 + 2 + 2 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2116654 + ... + 2116946.

It is an arithmetic number, because the mean of its divisors is an integer number (5236210).

Almost surely, 2^620222400 is an apocalyptic number.

620222400 is a gapful number since it is divisible by the number (60) 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 620222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319524920).

620222400 is an abundant number, since it is smaller than the sum of its proper divisors (2018827440).

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

620222400 is a wasteful number, since it uses less digits than its factorization.

620222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 620222400 is about 24904.2646950276. The cubic root of 620222400 is about 852.8038436138.

Adding to 620222400 its reverse (4222026), we get a palindrome (624444426).

The spelling of 620222400 in words is "six hundred twenty million, two hundred twenty-two thousand, four hundred".