408263259960 has 1152 divisors, whose sum is σ = 1564114406400. Its totient is φ = 95544852480.

The previous prime is 408263259953. The next prime is 408263259997. The reversal of 408263259960 is 69952362804.

It is a happy number.

408263259960 is a `hidden beast` number, since 40 + 8 + 2 + 6 + 3 + 2 + 599 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 408263259897 and 408263259906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4587227596 + ... + 4587227684.

It is an arithmetic number, because the mean of its divisors is an integer number (1357738200).

Almost surely, 2^408263259960 is an apocalyptic number.

408263259960 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 408263259960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782057203200).

408263259960 is an abundant number, since it is smaller than the sum of its proper divisors (1155851146440).

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

408263259960 is a wasteful number, since it uses less digits than its factorization.

408263259960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 408263259960 in words is "four hundred eight billion, two hundred sixty-three million, two hundred fifty-nine thousand, nine hundred sixty".