240405025 has 27 divisors (see below), whose sum is σ = 347556531. Its totient is φ = 164477040.

The previous prime is 240405023. The next prime is 240405037. The reversal of 240405025 is 520504042.

The square root of 240405025 is 15505.

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

It can be written as a sum of positive squares in only one way, i.e., 86545809 + 153859216 = 9303^2 + 12404^2 .

It is not a de Polignac number, because 240405025 - 2¹ = 240405023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 240404987 and 240405005.

It is not an unprimeable number, because it can be changed into a prime (240405023) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 542454 + ... + 542896.

Almost surely, 2^240405025 is an apocalyptic number.

240405025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

240405025 is the 15505-th square number.

240405025 is the 7753-rd centered octagonal number.

It is an amenable number.

240405025 is a deficient number, since it is larger than the sum of its proper divisors (107151506).

240405025 is an frugal number, since it uses more digits than its factorization.

240405025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The cubic root of 240405025 is about 621.7958899560.

Multiplying 240405025 by its product of nonzero digits (1600), we get a square (384648040000 = 620200²).

Adding to 240405025 its reverse (520504042), we get a palindrome (760909067).

The spelling of 240405025 in words is "two hundred forty million, four hundred five thousand, twenty-five".