450545353440 has 192 divisors, whose sum is σ = 1746729847296. Its totient is φ = 95060109312.

The previous prime is 450545353397. The next prime is 450545353451. The reversal of 450545353440 is 44353545054.

It is a super-2 number, since 2×450545353440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 450545353392 and 450545353401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5113662 + ... + 5201021.

It is an arithmetic number, because the mean of its divisors is an integer number (9097551288).

Almost surely, 2^450545353440 is an apocalyptic number.

450545353440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450545353440 is an abundant number, since it is smaller than the sum of its proper divisors (1296184493856).

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

450545353440 is a wasteful number, since it uses less digits than its factorization.

450545353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10314721 (or 10314713 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

Adding to 450545353440 its reverse (44353545054), we get a palindrome (494898898494).

The spelling of 450545353440 in words is "four hundred fifty billion, five hundred forty-five million, three hundred fifty-three thousand, four hundred forty".