455285145600 has 912 divisors, whose sum is σ = 1747511485440. Its totient is φ = 116077363200.

The previous prime is 455285145587. The next prime is 455285145643. The reversal of 455285145600 is 6541582554.

455285145600 is a `hidden beast` number, since 4 + 5 + 5 + 2 + 85 + 1 + 4 + 560 + 0 = 666.

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, 5485363159 + ... + 5485363241.

Almost surely, 2^455285145600 is an apocalyptic number.

455285145600 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 455285145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873755742720).

455285145600 is an abundant number, since it is smaller than the sum of its proper divisors (1292226339840).

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

455285145600 is an frugal number, since it uses more digits than its factorization.

455285145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 455285145600 in words is "four hundred fifty-five billion, two hundred eighty-five million, one hundred forty-five thousand, six hundred".