455742540288 has 640 divisors, whose sum is σ = 1626135920640. Its totient is φ = 123208335360.

The previous prime is 455742540287. The next prime is 455742540343. The reversal of 455742540288 is 882045247554.

455742540288 is a `hidden beast` number, since 4 + 5 + 5 + 74 + 2 + 540 + 28 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (455742540287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215888353 + ... + 215890463.

It is an arithmetic number, because the mean of its divisors is an integer number (2540837376).

Almost surely, 2^455742540288 is an apocalyptic number.

455742540288 is a gapful number since it is divisible by the number (48) 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 455742540288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813067960320).

455742540288 is an abundant number, since it is smaller than the sum of its proper divisors (1170393380352).

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

455742540288 is a wasteful number, since it uses less digits than its factorization.

455742540288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 14336000, while the sum is 54.

The spelling of 455742540288 in words is "four hundred fifty-five billion, seven hundred forty-two million, five hundred forty thousand, two hundred eighty-eight".