455466240 has 360 divisors, whose sum is σ = 1709503488. Its totient is φ = 115568640.

The previous prime is 455466239. The next prime is 455466247. The reversal of 455466240 is 42664554.

455466240 is a `hidden beast` number, since 4 + 554 + 6 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 455466195 and 455466204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455466247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2384545 + ... + 2384735.

Almost surely, 2^455466240 is an apocalyptic number.

455466240 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 455466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854751744).

455466240 is an abundant number, since it is smaller than the sum of its proper divisors (1254037248).

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

455466240 is a wasteful number, since it uses less digits than its factorization.

455466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 455466240 is about 21341.6550435996. The cubic root of 455466240 is about 769.3997908790.

The spelling of 455466240 in words is "four hundred fifty-five million, four hundred sixty-six thousand, two hundred forty".