402806480 has 40 divisors (see below), whose sum is σ = 938277000. Its totient is φ = 160821248.

The previous prime is 402806473. The next prime is 402806507. The reversal of 402806480 is 84608204.

It can be written as a sum of positive squares in 4 ways, for example, as 21307456 + 381499024 = 4616^2 + 19532^2 .

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

It is a congruent 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, 41096 + ... + 49944.

It is an arithmetic number, because the mean of its divisors is an integer number (23456925).

Almost surely, 2^402806480 is an apocalyptic number.

402806480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402806480 is an abundant number, since it is smaller than the sum of its proper divisors (535470520).

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

402806480 is a wasteful number, since it uses less digits than its factorization.

402806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 402806480 is about 20070.0393621936. The cubic root of 402806480 is about 738.5254787272.

The spelling of 402806480 in words is "four hundred two million, eight hundred six thousand, four hundred eighty".