401480 has 16 divisors (see below), whose sum is σ = 903420. Its totient is φ = 160576.

The previous prime is 401477. The next prime is 401507. The reversal of 401480 is 84104.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 391876 + 9604 = 626^2 + 98^2 .

It is a super-2 number, since 2×401480² = 322372380800, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4979 + ... + 5058.

2⁴⁰¹⁴⁸⁰ is an apocalyptic number.

401480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401480 is an abundant number, since it is smaller than the sum of its proper divisors (501940).

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

401480 is a wasteful number, since it uses less digits than its factorization.

401480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 401480 is about 633.6244944760. The cubic root of 401480 is about 73.7713909032.

Adding to 401480 its reverse (84104), we get a palindrome (485584).

The spelling of 401480 in words is "four hundred one thousand, four hundred eighty".