405648875520 has 1008 divisors, whose sum is σ = 1733272513128. Its totient is φ = 87199580160.

The previous prime is 405648875501. The next prime is 405648875521. The reversal of 405648875520 is 25578846504.

405648875520 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 4 + 8 + 87 + 552 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 404129746944 + 1519128576 = 635712^2 + 38976^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (405648875521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 307076460 + ... + 307077780.

Almost surely, 2^405648875520 is an apocalyptic number.

405648875520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405648875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866636256564).

405648875520 is an abundant number, since it is smaller than the sum of its proper divisors (1327623637608).

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

405648875520 is a wasteful number, since it uses less digits than its factorization.

405648875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 405648875520 in words is "four hundred five billion, six hundred forty-eight million, eight hundred seventy-five thousand, five hundred twenty".