408043551960 has 384 divisors, whose sum is σ = 1544490192960. Its totient is φ = 93098987520.

The previous prime is 408043551953. The next prime is 408043551967. The reversal of 408043551960 is 69155340804.

408043551960 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 4 + 3 + 551 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (408043551953) and next prime (408043551967).

It is a super-2 number, since 2×408043551960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408043551967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8120674 + ... + 8170766.

Almost surely, 2^408043551960 is an apocalyptic number.

408043551960 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 408043551960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772245096480).

408043551960 is an abundant number, since it is smaller than the sum of its proper divisors (1136446641000).

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

408043551960 is a wasteful number, since it uses less digits than its factorization.

408043551960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50160 (or 50131 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 408043551960 in words is "four hundred eight billion, forty-three million, five hundred fifty-one thousand, nine hundred sixty".