454106664 has 192 divisors, whose sum is σ = 1419949440. Its totient is φ = 129761280.

The previous prime is 454106663. The next prime is 454106671. The reversal of 454106664 is 466601454.

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

It is not an unprimeable number, because it can be changed into a prime (454106663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1766824 + ... + 1767080.

It is an arithmetic number, because the mean of its divisors is an integer number (7395570).

Almost surely, 2^454106664 is an apocalyptic number.

454106664 is a gapful number since it is divisible by the number (44) 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 454106664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709974720).

454106664 is an abundant number, since it is smaller than the sum of its proper divisors (965842776).

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

454106664 is a wasteful number, since it uses less digits than its factorization.

454106664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

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

The square root of 454106664 is about 21309.7786004454. The cubic root of 454106664 is about 768.6334698641.

The spelling of 454106664 in words is "four hundred fifty-four million, one hundred six thousand, six hundred sixty-four".