454616064 has 352 divisors, whose sum is σ = 1611398400. Its totient is φ = 125411328.

The previous prime is 454616047. The next prime is 454616111. The reversal of 454616064 is 460616454.

454616064 is a `hidden beast` number, since 4 + 5 + 46 + 1 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15676402 + ... + 15676430.

Almost surely, 2^454616064 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 454616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805699200).

454616064 is an abundant number, since it is smaller than the sum of its proper divisors (1156782336).

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

454616064 is an frugal number, since it uses more digits than its factorization.

454616064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 454616064 is about 21321.7275097493. The cubic root of 454616064 is about 768.9207706284.

The spelling of 454616064 in words is "four hundred fifty-four million, six hundred sixteen thousand, sixty-four".