455268240 has 240 divisors, whose sum is σ = 1766339328. Its totient is φ = 102933504.

The previous prime is 455268199. The next prime is 455268277. The reversal of 455268240 is 42862554.

It is a happy number.

455268240 is a `hidden beast` number, since 4 + 552 + 68 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 455268195 and 455268204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518682 + ... + 519558.

Almost surely, 2^455268240 is an apocalyptic number.

455268240 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 455268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883169664).

455268240 is an abundant number, since it is smaller than the sum of its proper divisors (1311071088).

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

455268240 is a wasteful number, since it uses less digits than its factorization.

455268240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 455268240 is about 21337.0157238542. The cubic root of 455268240 is about 769.2882837201.

The spelling of 455268240 in words is "four hundred fifty-five million, two hundred sixty-eight thousand, two hundred forty".