455364261000 has 1152 divisors, whose sum is σ = 1859671457280. Its totient is φ = 103783680000.

The previous prime is 455364260971. The next prime is 455364261043. The reversal of 455364261000 is 162463554.

455364261000 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 642 + 6 + 1 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×455364261000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 499850545 + ... + 499851455.

It is an arithmetic number, because the mean of its divisors is an integer number (1614298140).

Almost surely, 2^455364261000 is an apocalyptic number.

455364261000 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 455364261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929835728640).

455364261000 is an abundant number, since it is smaller than the sum of its proper divisors (1404307196280).

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

455364261000 is a wasteful number, since it uses less digits than its factorization.

455364261000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 455364261000 in words is "four hundred fifty-five billion, three hundred sixty-four million, two hundred sixty-one thousand".