400201251 has 16 divisors (see below), whose sum is σ = 551798784. Its totient is φ = 257853024.

The previous prime is 400201229. The next prime is 400201273. The reversal of 400201251 is 152102004.

It is an interprime number because it is at equal distance from previous prime (400201229) and next prime (400201273).

It is not a de Polignac number, because 400201251 - 2¹⁸ = 399939107 is a prime.

It is a super-2 number, since 2×400201251² = 320322082603930002, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400201251.

It is not an unprimeable number, because it can be changed into a prime (400201751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8131 + ... + 29436.

It is an arithmetic number, because the mean of its divisors is an integer number (34487424).

Almost surely, 2^400201251 is an apocalyptic number.

400201251 is a deficient number, since it is larger than the sum of its proper divisors (151597533).

400201251 is a wasteful number, since it uses less digits than its factorization.

400201251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37690.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 400201251 is about 20005.0306423159. The cubic root of 400201251 is about 736.9298481807.

Adding to 400201251 its reverse (152102004), we get a palindrome (552303255).

The spelling of 400201251 in words is "four hundred million, two hundred one thousand, two hundred fifty-one".