408277473408 has 512 divisors, whose sum is σ = 1440364032000. Its totient is φ = 111318147072.

The previous prime is 408277473407. The next prime is 408277473451. The reversal of 408277473408 is 804374772804.

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

It is not an unprimeable number, because it can be changed into a prime (408277473403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450140091 + ... + 450140997.

It is an arithmetic number, because the mean of its divisors is an integer number (2813211000).

Almost surely, 2^408277473408 is an apocalyptic number.

408277473408 is a gapful number since it is divisible by the number (48) 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 408277473408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720182016000).

408277473408 is an abundant number, since it is smaller than the sum of its proper divisors (1032086558592).

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

408277473408 is a wasteful number, since it uses less digits than its factorization.

408277473408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 408277473408 in words is "four hundred eight billion, two hundred seventy-seven million, four hundred seventy-three thousand, four hundred eight".