455975406000 has 480 divisors, whose sum is σ = 1655974302528. Its totient is φ = 121268275200.

The previous prime is 455975405981. The next prime is 455975406013. The reversal of 455975406000 is 604579554.

455975406000 is a `hidden beast` number, since 4 + 5 + 597 + 54 + 0 + 6 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222100974 + ... + 222103026.

Almost surely, 2^455975406000 is an apocalyptic number.

455975406000 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 455975406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827987151264).

455975406000 is an abundant number, since it is smaller than the sum of its proper divisors (1199998896528).

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

455975406000 is a wasteful number, since it uses less digits than its factorization.

455975406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 455975406000 in words is "four hundred fifty-five billion, nine hundred seventy-five million, four hundred six thousand".