408289628160 has 416 divisors, whose sum is σ = 1461075194880. Its totient is φ = 108160745472.

The previous prime is 408289628147. The next prime is 408289628183. The reversal of 408289628160 is 61826982804.

408289628160 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 8 + 9 + 628 + 1 + 6 + 0 = 666.

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 408289628097 and 408289628106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86812369 + ... + 86817071.

Almost surely, 2^408289628160 is an apocalyptic number.

408289628160 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 408289628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730537597440).

408289628160 is an abundant number, since it is smaller than the sum of its proper divisors (1052785566720).

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

408289628160 is a wasteful number, since it uses less digits than its factorization.

408289628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 408289628160 in words is "four hundred eight billion, two hundred eighty-nine million, six hundred twenty-eight thousand, one hundred sixty".