4820400 has 180 divisors, whose sum is σ = 18189808. Its totient is φ = 1175040.

The previous prime is 4820383. The next prime is 4820419. The reversal of 4820400 is 40284.

4820400 = T₁₀₅ + T₁₀₆ + ... + T₃₁₀.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46749 + ... + 46851.

Almost surely, 2^4820400 is an apocalyptic number.

4820400 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 4820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094904).

4820400 is an abundant number, since it is smaller than the sum of its proper divisors (13369408).

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

4820400 is a wasteful number, since it uses less digits than its factorization.

4820400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4820400 is about 2195.5409356238. The cubic root of 4820400 is about 168.9251679014.

Adding to 4820400 its reverse (40284), we get a palindrome (4860684).

The spelling of 4820400 in words is "four million, eight hundred twenty thousand, four hundred".