400045 has 8 divisors (see below), whose sum is σ = 505440. Its totient is φ = 303120.

The previous prime is 400033. The next prime is 400051. The reversal of 400045 is 540004.

400045 = 136² + 137² + ... + 154².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 400045 - 2¹⁵ = 367277 is a prime.

400045 is a modest number, since divided by 45 gives 40 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 399998 and 400034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2011 + ... + 2200.

It is an arithmetic number, because the mean of its divisors is an integer number (63180).

2⁴⁰⁰⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

400045 is a deficient number, since it is larger than the sum of its proper divisors (105395).

400045 is a wasteful number, since it uses less digits than its factorization.

400045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235.

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 400045 is about 632.4911066568. The cubic root of 400045 is about 73.6833928928.

Adding to 400045 its reverse (540004), we get a palindrome (940049).

The spelling of 400045 in words is "four hundred thousand, forty-five".