400082501 has 24 divisors (see below), whose sum is σ = 506905560. Its totient is φ = 312947712.

The previous prime is 400082479. The next prime is 400082509. The reversal of 400082501 is 105280004.

It can be written as a sum of positive squares in 4 ways, for example, as 64240225 + 335842276 = 8015^2 + 18326^2 .

It is not a de Polignac number, because 400082501 - 2¹⁸ = 399820357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400082509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53165 + ... + 60221.

It is an arithmetic number, because the mean of its divisors is an integer number (21121065).

Almost surely, 2^400082501 is an apocalyptic number.

It is an amenable number.

400082501 is a deficient number, since it is larger than the sum of its proper divisors (106823059).

400082501 is a wasteful number, since it uses less digits than its factorization.

400082501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7173 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 400082501 is about 20002.0624186607. The cubic root of 400082501 is about 736.8569522929.

The spelling of 400082501 in words is "four hundred million, eighty-two thousand, five hundred one".