455301223520 has 288 divisors, whose sum is σ = 1278574585344. Its totient is φ = 151874611200.

The previous prime is 455301223477. The next prime is 455301223543. The reversal of 455301223520 is 25322103554.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 48478025 + ... + 48487415.

It is an arithmetic number, because the mean of its divisors is an integer number (4439495088).

Almost surely, 2^455301223520 is an apocalyptic number.

455301223520 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 455301223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639287292672).

455301223520 is an abundant number, since it is smaller than the sum of its proper divisors (823273361824).

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

455301223520 is a wasteful number, since it uses less digits than its factorization.

455301223520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9606 (or 9585 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 455301223520 in words is "four hundred fifty-five billion, three hundred one million, two hundred twenty-three thousand, five hundred twenty".