620400 has 120 divisors (see below), whose sum is σ = 2214144. Its totient is φ = 147200.
The previous prime is 620393. The next prime is 620401. The reversal of 620400 is 4026.
620400 = T11 + T12 + ... + T154.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a nialpdrome in base 16.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (620401) by changing a digit.
620400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13177 + ... + 13223.
2620400 is an apocalyptic number.
620400 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 620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107072).
620400 is an abundant number, since it is smaller than the sum of its proper divisors (1593744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
620400 is a wasteful number, since it uses less digits than its factorization.
620400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79 (or 68 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 620400 is about 787.6547467006. The cubic root of 620400 is about 85.2885235659.
Adding to 620400 its reverse (4026), we get a palindrome (624426).
The spelling of 620400 in words is "six hundred twenty thousand, four hundred".
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