400480 has 24 divisors (see below), whose sum is σ = 946512. Its totient is φ = 160128.

The previous prime is 400471. The next prime is 400481. The reversal of 400480 is 84004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400481) by changing a digit.

400480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1092 + ... + 1411.

It is an arithmetic number, because the mean of its divisors is an integer number (39438).

2⁴⁰⁰⁴⁸⁰ is an apocalyptic number.

400480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400480 is an abundant number, since it is smaller than the sum of its proper divisors (546032).

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

400480 is a wasteful number, since it uses less digits than its factorization.

400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 400480 is about 632.8348915792. The cubic root of 400480 is about 73.7100904437.

Adding to 400480 its reverse (84004), we get a palindrome (484484).

The spelling of 400480 in words is "four hundred thousand, four hundred eighty".