454398464 has 80 divisors (see below), whose sum is σ = 985296312. Its totient is φ = 208109568.

The previous prime is 454398421. The next prime is 454398467. The reversal of 454398464 is 464893454.

It can be written as a sum of positive squares in 4 ways, for example, as 360696064 + 93702400 = 18992^2 + 9680^2 .

It is not an unprimeable number, because it can be changed into a prime (454398467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1550702 + ... + 1550994.

Almost surely, 2^454398464 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 454398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492648156).

454398464 is an abundant number, since it is smaller than the sum of its proper divisors (530897848).

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

454398464 is a wasteful number, since it uses less digits than its factorization.

454398464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 541 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 47.

The square root of 454398464 is about 21316.6241229703. The cubic root of 454398464 is about 768.7980708566.

The spelling of 454398464 in words is "four hundred fifty-four million, three hundred ninety-eight thousand, four hundred sixty-four".