408242025 has 45 divisors (see below), whose sum is σ = 757893301. Its totient is φ = 217244160.

The previous prime is 408242017. The next prime is 408242033. The reversal of 408242025 is 520242804.

It is a happy number.

The square root of 408242025 is 20205.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (408242017) and next prime (408242033).

It can be written as a sum of positive squares in 4 ways, for example, as 363609 + 407878416 = 603^2 + 20196^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 408242025 - 2³ = 408242017 is a prime.

It is a super-2 number, since 2×408242025² = 333323101952201250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 408242025.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 909001 + ... + 909449.

Almost surely, 2^408242025 is an apocalyptic number.

408242025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

408242025 is the 20205-th square number.

408242025 is the 10103-rd centered octagonal number.

It is an amenable number.

408242025 is a deficient number, since it is larger than the sum of its proper divisors (349651276).

408242025 is an frugal number, since it uses more digits than its factorization.

408242025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The cubic root of 408242025 is about 741.8325805365.

Adding to 408242025 its reverse (520242804), we get a palindrome (928484829).

It can be divided in two parts, 40824 and 2025, that added together give a square (42849 = 207²).

The spelling of 408242025 in words is "four hundred eight million, two hundred forty-two thousand, twenty-five".