408478975488 has 320 divisors, whose sum is σ = 1274048455680. Its totient is φ = 128964870144.

The previous prime is 408478975483. The next prime is 408478975501. The reversal of 408478975488 is 884579874804.

408478975488 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 78 + 9 + 7 + 548 + 8 = 666.

It is a super-2 number, since 2×408478975488² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408478975483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32742820 + ... + 32755292.

It is an arithmetic number, because the mean of its divisors is an integer number (3981401424).

Almost surely, 2^408478975488 is an apocalyptic number.

408478975488 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 408478975488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637024227840).

408478975488 is an abundant number, since it is smaller than the sum of its proper divisors (865569480192).

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

408478975488 is a wasteful number, since it uses less digits than its factorization.

408478975488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12626 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 408478975488 in words is "four hundred eight billion, four hundred seventy-eight million, nine hundred seventy-five thousand, four hundred eighty-eight".