455725670400 has 3024 divisors, whose sum is σ = 2319801344640. Its totient is φ = 82811289600.

The previous prime is 455725670383. The next prime is 455725670401. The reversal of 455725670400 is 4076527554.

455725670400 is a `hidden beast` number, since 4 + 5 + 572 + 5 + 6 + 70 + 4 + 0 + 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 not an unprimeable number, because it can be changed into a prime (455725670401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23985561591 + ... + 23985561609.

Almost surely, 2^455725670400 is an apocalyptic number.

455725670400 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 455725670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159900672320).

455725670400 is an abundant number, since it is smaller than the sum of its proper divisors (1864075674240).

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

455725670400 is a wasteful number, since it uses less digits than its factorization.

455725670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 455725670400 in words is "four hundred fifty-five billion, seven hundred twenty-five million, six hundred seventy thousand, four hundred".