25200420 has 96 divisors (see below), whose sum is σ = 83462400. Its totient is φ = 5558784.

The previous prime is 25200407. The next prime is 25200421. The reversal of 25200420 is 2400252.

It is a super-2 number, since 2×25200420² = 1270122336352800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 25200420.

It is not an unprimeable number, because it can be changed into a prime (25200421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11146 + ... + 13214.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 2^25200420 is an apocalyptic number.

25200420 is a gapful number since it is divisible by the number (20) 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 25200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41731200).

25200420 is an abundant number, since it is smaller than the sum of its proper divisors (58261980).

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

25200420 is a wasteful number, since it uses less digits than its factorization.

25200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 25200420 is about 5020.0019920315. The cubic root of 25200420 is about 293.1810705413.

Adding to 25200420 its reverse (2400252), we get a palindrome (27600672).

The spelling of 25200420 in words is "twenty-five million, two hundred thousand, four hundred twenty".