400953 has 16 divisors (see below), whose sum is σ = 622976. Its totient is φ = 224640.

The previous prime is 400949. The next prime is 400963. The reversal of 400953 is 359004.

It is not a de Polignac number, because 400953 - 2² = 400949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a Duffinian number.

400953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (400903) 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, 1125 + ... + 1437.

It is an arithmetic number, because the mean of its divisors is an integer number (38936).

2⁴⁰⁰⁹⁵³ is an apocalyptic number.

It is an amenable number.

400953 is a deficient number, since it is larger than the sum of its proper divisors (222023).

400953 is a wasteful number, since it uses less digits than its factorization.

400953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 400953 is about 633.2084964686. The cubic root of 400953 is about 73.7390982641.

Adding to 400953 its reverse (359004), we get a palindrome (759957).

The spelling of 400953 in words is "four hundred thousand, nine hundred fifty-three".