408728263680 has 1408 divisors, whose sum is σ = 1705504066560. Its totient is φ = 91729428480.

The previous prime is 408728263589. The next prime is 408728263721. The reversal of 408728263680 is 86362827804.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2507535279 + ... + 2507535441.

Almost surely, 2^408728263680 is an apocalyptic number.

408728263680 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 408728263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852752033280).

408728263680 is an abundant number, since it is smaller than the sum of its proper divisors (1296775802880).

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

408728263680 is a wasteful number, since it uses less digits than its factorization.

408728263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 408728263680 in words is "four hundred eight billion, seven hundred twenty-eight million, two hundred sixty-three thousand, six hundred eighty".