6408454416 has 240 divisors, whose sum is σ = 21411629568. Its totient is φ = 1635379200.

The previous prime is 6408454399. The next prime is 6408454421. The reversal of 6408454416 is 6144548046.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944476 + ... + 951236.

Almost surely, 2^6408454416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6408454416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10705814784).

6408454416 is an abundant number, since it is smaller than the sum of its proper divisors (15003175152).

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

6408454416 is a wasteful number, since it uses less digits than its factorization.

6408454416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 6408454416 is about 80052.8226610405. The cubic root of 6408454416 is about 1857.4527137787.

The spelling of 6408454416 in words is "six billion, four hundred eight million, four hundred fifty-four thousand, four hundred sixteen".