455404249493100 has 864 divisors, whose sum is σ = 1573188072019200. Its totient is φ = 113875157975040.

The previous prime is 455404249493057. The next prime is 455404249493119. The reversal of 455404249493100 is 1394942404554.

455404249493100 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 0 + 4 + 2 + 49 + 493 + 100 = 666.

It is a super-2 number, since 2×455404249493100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 168232081947 + ... + 168232084653.

It is an arithmetic number, because the mean of its divisors is an integer number (1820819527800).

Almost surely, 2^{455404249493100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455404249493100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786594036009600).

455404249493100 is an abundant number, since it is smaller than the sum of its proper divisors (1117783822526100).

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

455404249493100 is a wasteful number, since it uses less digits than its factorization.

455404249493100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 455404249493100 in words is "four hundred fifty-five trillion, four hundred four billion, two hundred forty-nine million, four hundred ninety-three thousand, one hundred".