5205420 has 108 divisors (see below), whose sum is σ = 17428320. Its totient is φ = 1256640.

The previous prime is 5205407. The next prime is 5205433. The reversal of 5205420 is 245025.

5205420 = T₂₅₁ + T₂₅₂ + ... + T₃₆₀.

It is an interprime number because it is at equal distance from previous prime (5205407) and next prime (5205433).

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

It is a junction number, because it is equal to n+sod(n) for n = 5205393 and 5205402.

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, 21661 + ... + 21899.

Almost surely, 2^5205420 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 5205420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714160).

5205420 is an abundant number, since it is smaller than the sum of its proper divisors (12222900).

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

5205420 is a wasteful number, since it uses less digits than its factorization.

5205420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5205420 is about 2281.5389543026. The cubic root of 5205420 is about 173.3079926794.

It can be divided in two parts, 5205 and 420, that added together give a square (5625 = 75²).

The spelling of 5205420 in words is "five million, two hundred five thousand, four hundred twenty".