454245580800 has 768 divisors, whose sum is σ = 1821600374400. Its totient is φ = 110061158400.

The previous prime is 454245580769. The next prime is 454245580903. The reversal of 454245580800 is 8085542454.

454245580800 is a `hidden beast` number, since 4 + 5 + 42 + 455 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 243301467 + ... + 243303333.

Almost surely, 2^454245580800 is an apocalyptic number.

454245580800 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 454245580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910800187200).

454245580800 is an abundant number, since it is smaller than the sum of its proper divisors (1367354793600).

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

454245580800 is a wasteful number, since it uses less digits than its factorization.

454245580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 454245580800 in words is "four hundred fifty-four billion, two hundred forty-five million, five hundred eighty thousand, eight hundred".