400560 has 40 divisors (see below), whose sum is σ = 1242480. Its totient is φ = 106752.

The previous prime is 400559. The next prime is 400579. The reversal of 400560 is 65004.

400560 = 96² + 97² + ... + 127².

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam 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, 595 + ... + 1074.

It is an arithmetic number, because the mean of its divisors is an integer number (31062).

2⁴⁰⁰⁵⁶⁰ is an apocalyptic number.

400560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400560 is an abundant number, since it is smaller than the sum of its proper divisors (841920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400560 is a wasteful number, since it uses less digits than its factorization.

400560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 400560 is about 632.8980960629. The cubic root of 400560 is about 73.7149982333.

Adding to 400560 its reverse (65004), we get a palindrome (465564).

The spelling of 400560 in words is "four hundred thousand, five hundred sixty".