401768225 has 24 divisors (see below), whose sum is σ = 540387288. Its totient is φ = 295116800.

The previous prime is 401768207. The next prime is 401768231. The reversal of 401768225 is 522867104.

It can be written as a sum of positive squares in 12 ways, for example, as 55771024 + 345997201 = 7468^2 + 18601^2 .

It is not a de Polignac number, because 401768225 - 2⁸ = 401767969 is a prime.

It is a super-2 number, since 2×401768225² = 322835413239301250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5897 + ... + 28953.

It is an arithmetic number, because the mean of its divisors is an integer number (22516137).

Almost surely, 2^401768225 is an apocalyptic number.

It is an amenable number.

401768225 is a deficient number, since it is larger than the sum of its proper divisors (138619063).

401768225 is a wasteful number, since it uses less digits than its factorization.

401768225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23125 (or 23120 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 401768225 is about 20044.1568792504. The cubic root of 401768225 is about 737.8904032775.

The spelling of 401768225 in words is "four hundred one million, seven hundred sixty-eight thousand, two hundred twenty-five".