450155432320 has 128 divisors (see below), whose sum is σ = 1177765505280. Its totient is φ = 163165747200.

The previous prime is 450155432281. The next prime is 450155432333. The reversal of 450155432320 is 23234551054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×450155432320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086639 + ... + 2292241.

It is an arithmetic number, because the mean of its divisors is an integer number (9201293010).

Almost surely, 2^450155432320 is an apocalyptic number.

450155432320 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 450155432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588882752640).

450155432320 is an abundant number, since it is smaller than the sum of its proper divisors (727610072960).

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

450155432320 is a wasteful number, since it uses less digits than its factorization.

450155432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205944 (or 205932 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 450155432320 its reverse (23234551054), we get a palindrome (473389983374).

The spelling of 450155432320 in words is "four hundred fifty billion, one hundred fifty-five million, four hundred thirty-two thousand, three hundred twenty".