454214201304400 has 30 divisors (see below), whose sum is σ = 1091249618634782. Its totient is φ = 181685680521600.

The previous prime is 454214201304371. The next prime is 454214201304419. The reversal of 454214201304400 is 4403102412454.

It can be written as a sum of positive squares in 3 ways, for example, as 83668487114304 + 370545714190096 = 9147048^2 + 19249564^2 .

It is a super-2 number, since 2×454214201304400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567767751231 + ... + 567767752030.

Almost surely, 2^{454214201304400} is an apocalyptic number.

454214201304400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454214201304400 is an abundant number, since it is smaller than the sum of its proper divisors (637035417330382).

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

454214201304400 is a wasteful number, since it uses less digits than its factorization.

454214201304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135535503279 (or 1135535503268 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 454214201304400 its reverse (4403102412454), we get a palindrome (458617303716854).

The spelling of 454214201304400 in words is "four hundred fifty-four trillion, two hundred fourteen billion, two hundred one million, three hundred four thousand, four hundred".