455648747400 has 1152 divisors, whose sum is σ = 1968816844800. Its totient is φ = 91697356800.

The previous prime is 455648747341. The next prime is 455648747401. The reversal of 455648747400 is 4747846554.

455648747400 is a `hidden beast` number, since 4 + 5 + 564 + 8 + 7 + 4 + 74 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (455648747401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 736104291 + ... + 736104909.

It is an arithmetic number, because the mean of its divisors is an integer number (1709042400).

Almost surely, 2^455648747400 is an apocalyptic number.

455648747400 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 455648747400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984408422400).

455648747400 is an abundant number, since it is smaller than the sum of its proper divisors (1513168097400).

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

455648747400 is a wasteful number, since it uses less digits than its factorization.

455648747400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 455648747400 in words is "four hundred fifty-five billion, six hundred forty-eight million, seven hundred forty-seven thousand, four hundred".