450455013360 has 240 divisors, whose sum is σ = 1651797894240. Its totient is φ = 109102325760.

The previous prime is 450455013347. The next prime is 450455013367. The reversal of 450455013360 is 63310554054.

450455013360 is a `hidden beast` number, since 4 + 50 + 45 + 501 + 3 + 3 + 60 = 666.

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

It is a super-2 number, since 2×450455013360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450455013367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8916492 + ... + 8966868.

It is an arithmetic number, because the mean of its divisors is an integer number (6882491226).

Almost surely, 2^450455013360 is an apocalyptic number.

450455013360 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 450455013360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825898947120).

450455013360 is an abundant number, since it is smaller than the sum of its proper divisors (1201342880880).

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

450455013360 is a wasteful number, since it uses less digits than its factorization.

450455013360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51536 (or 51527 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 450455013360 in words is "four hundred fifty billion, four hundred fifty-five million, thirteen thousand, three hundred sixty".