408489351480 has 512 divisors, whose sum is σ = 1596672000000. Its totient is φ = 90949630464.

The previous prime is 408489351467. The next prime is 408489351497. The reversal of 408489351480 is 84153984804.

It is a happy number.

408489351480 is a `hidden beast` number, since 4 + 0 + 8 + 48 + 9 + 3 + 514 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136207021 + ... + 136210019.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500000).

Almost surely, 2^408489351480 is an apocalyptic number.

408489351480 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 408489351480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336000000).

408489351480 is an abundant number, since it is smaller than the sum of its proper divisors (1188182648520).

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

408489351480 is a wasteful number, since it uses less digits than its factorization.

408489351480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 408489351480 in words is "four hundred eight billion, four hundred eighty-nine million, three hundred fifty-one thousand, four hundred eighty".