406454464416 has 768 divisors, whose sum is σ = 1510732726272. Its totient is φ = 92269670400.

The previous prime is 406454464399. The next prime is 406454464439. The reversal of 406454464416 is 614464454604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 140010421 + ... + 140013323.

It is an arithmetic number, because the mean of its divisors is an integer number (1967099904).

Almost surely, 2^406454464416 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 406454464416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755366363136).

406454464416 is an abundant number, since it is smaller than the sum of its proper divisors (1104278261856).

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

406454464416 is a wasteful number, since it uses less digits than its factorization.

406454464416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 406454464416 in words is "four hundred six billion, four hundred fifty-four million, four hundred sixty-four thousand, four hundred sixteen".