455549754240 has 1440 divisors, whose sum is σ = 1959835794840. Its totient is φ = 100538081280.

The previous prime is 455549754227. The next prime is 455549754269. The reversal of 455549754240 is 42457945554.

455549754240 is a `hidden beast` number, since 4 + 5 + 5 + 5 + 4 + 97 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3477478975 + ... + 3477479105.

Almost surely, 2^455549754240 is an apocalyptic number.

455549754240 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 455549754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979917897420).

455549754240 is an abundant number, since it is smaller than the sum of its proper divisors (1504286040600).

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

455549754240 is a wasteful number, since it uses less digits than its factorization.

455549754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 455549754240 in words is "four hundred fifty-five billion, five hundred forty-nine million, seven hundred fifty-four thousand, two hundred forty".