405353480 has 48 divisors (see below), whose sum is σ = 1060955820. Its totient is φ = 138977664.

The previous prime is 405353477. The next prime is 405353497. The reversal of 405353480 is 84353504.

It can be written as a sum of positive squares in 2 ways, for example, as 402483844 + 2869636 = 20062^2 + 1694^2 .

It is a super-2 number, since 2×405353480² = 328622887496220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101447 + ... + 105366.

Almost surely, 2^405353480 is an apocalyptic number.

405353480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405353480 is an abundant number, since it is smaller than the sum of its proper divisors (655602340).

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

405353480 is a wasteful number, since it uses less digits than its factorization.

405353480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206838 (or 206827 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 405353480 is about 20133.3921632695. The cubic root of 405353480 is about 740.0788082613.

The spelling of 405353480 in words is "four hundred five million, three hundred fifty-three thousand, four hundred eighty".