455427627600 has 480 divisors, whose sum is σ = 1705634832384. Its totient is φ = 102749644800.

The previous prime is 455427627593. The next prime is 455427627607. The reversal of 455427627600 is 6726724554.

It is an interprime number because it is at equal distance from previous prime (455427627593) and next prime (455427627607).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 455427627600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455427627607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11212929 + ... + 11253471.

Almost surely, 2^455427627600 is an apocalyptic number.

455427627600 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 455427627600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852817416192).

455427627600 is an abundant number, since it is smaller than the sum of its proper divisors (1250207204784).

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

455427627600 is a wasteful number, since it uses less digits than its factorization.

455427627600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40635 (or 40624 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 455427627600 in words is "four hundred fifty-five billion, four hundred twenty-seven million, six hundred twenty-seven thousand, six hundred".