454442300400 has 240 divisors, whose sum is σ = 1591326327168. Its totient is φ = 109941888000.

The previous prime is 454442300381. The next prime is 454442300419. The reversal of 454442300400 is 4003244454.

It is an interprime number because it is at equal distance from previous prime (454442300381) and next prime (454442300419).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6446142 + ... + 6516258.

Almost surely, 2^454442300400 is an apocalyptic number.

454442300400 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 454442300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795663163584).

454442300400 is an abundant number, since it is smaller than the sum of its proper divisors (1136884026768).

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

454442300400 is a wasteful number, since it uses less digits than its factorization.

454442300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70640 (or 70629 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 454442300400 its reverse (4003244454), we get a palindrome (458445544854).

The spelling of 454442300400 in words is "four hundred fifty-four billion, four hundred forty-two million, three hundred thousand, four hundred".