405406480 has 40 divisors (see below), whose sum is σ = 998018712. Its totient is φ = 152623104.

The previous prime is 405406471. The next prime is 405406489. The reversal of 405406480 is 84604504.

It is an interprime number because it is at equal distance from previous prime (405406471) and next prime (405406489).

It can be written as a sum of positive squares in 4 ways, for example, as 164660224 + 240746256 = 12832^2 + 15516^2 .

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

It is a super-3 number, since 3×405406480³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (405406489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147687 + ... + 150406.

Almost surely, 2^405406480 is an apocalyptic number.

405406480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405406480 is an abundant number, since it is smaller than the sum of its proper divisors (592612232).

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

405406480 is a wasteful number, since it uses less digits than its factorization.

405406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298123 (or 298117 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 405406480 is about 20134.7083415678. The cubic root of 405406480 is about 740.1110619768. Note that the first 3 decimals are identical.

The spelling of 405406480 in words is "four hundred five million, four hundred six thousand, four hundred eighty".