454431713400 has 1536 divisors, whose sum is σ = 1979040000000. Its totient is φ = 95469373440.

The previous prime is 454431713377. The next prime is 454431713441. The reversal of 454431713400 is 4317134454.

454431713400 is a `hidden beast` number, since 4 + 5 + 443 + 171 + 3 + 40 + 0 = 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 383 ways as a sum of consecutive naturals, for example, 1302096426 + ... + 1302096774.

It is an arithmetic number, because the mean of its divisors is an integer number (1288437500).

Almost surely, 2^454431713400 is an apocalyptic number.

454431713400 is a gapful number since it is divisible by the number (40) 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 454431713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989520000000).

454431713400 is an abundant number, since it is smaller than the sum of its proper divisors (1524608286600).

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

454431713400 is a wasteful number, since it uses less digits than its factorization.

454431713400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 454431713400 its reverse (4317134454), we get a palindrome (458748847854).

The spelling of 454431713400 in words is "four hundred fifty-four billion, four hundred thirty-one million, seven hundred thirteen thousand, four hundred".