455409025600 has 63 divisors (see below), whose sum is σ = 1120657258681. Its totient is φ = 182152812800.

The previous prime is 455409025571. The next prime is 455409025607. The reversal of 455409025600 is 6520904554.

The square root of 455409025600 is 674840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 163947249216 + 291461776384 = 404904^2 + 539872^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (455409025607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26985165 + ... + 27002035.

Almost surely, 2^455409025600 is an apocalyptic number.

455409025600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

455409025600 is the 674840-th square number.

It is an amenable number.

455409025600 is an abundant number, since it is smaller than the sum of its proper divisors (665248233081).

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

455409025600 is an frugal number, since it uses more digits than its factorization.

455409025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33764 (or 16878 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 455409025600 in words is "four hundred fifty-five billion, four hundred nine million, twenty-five thousand, six hundred".