408628047360 has 960 divisors, whose sum is σ = 1486074028032. Its totient is φ = 95647039488.

The previous prime is 408628047329. The next prime is 408628047379. The reversal of 408628047360 is 63740826804.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3217543617 + ... + 3217543743.

Almost surely, 2^408628047360 is an apocalyptic number.

408628047360 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 408628047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743037014016).

408628047360 is an abundant number, since it is smaller than the sum of its proper divisors (1077445980672).

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

408628047360 is a wasteful number, since it uses less digits than its factorization.

408628047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 408628047360 in words is "four hundred eight billion, six hundred twenty-eight million, forty-seven thousand, three hundred sixty".