408763161600 has 264 divisors, whose sum is σ = 1352176276608. Its totient is φ = 108907315200.

The previous prime is 408763161581. The next prime is 408763161601. The reversal of 408763161600 is 6161367804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408763161601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146456205 + ... + 146458995.

Almost surely, 2^408763161600 is an apocalyptic number.

408763161600 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 408763161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676088138304).

408763161600 is an abundant number, since it is smaller than the sum of its proper divisors (943413115008).

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

408763161600 is a wasteful number, since it uses less digits than its factorization.

408763161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 408763161600 in words is "four hundred eight billion, seven hundred sixty-three million, one hundred sixty-one thousand, six hundred".