450346741146400 has 288 divisors, whose sum is σ = 1261701905159808. Its totient is φ = 153762029568000.

The previous prime is 450346741146391. The next prime is 450346741146427. The reversal of 450346741146400 is 4641147643054.

It is a super-2 number, since 2×450346741146400² (a number of 30 digits) contains 22 as substring.

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, 2537176054 + ... + 2537353546.

It is an arithmetic number, because the mean of its divisors is an integer number (4380909392916).

Almost surely, 2^{450346741146400} is an apocalyptic number.

450346741146400 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 450346741146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630850952579904).

450346741146400 is an abundant number, since it is smaller than the sum of its proper divisors (811355164013408).

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

450346741146400 is a wasteful number, since it uses less digits than its factorization.

450346741146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179404 (or 179391 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 49.

Adding to 450346741146400 its reverse (4641147643054), we get a palindrome (454987888789454).

The spelling of 450346741146400 in words is "four hundred fifty trillion, three hundred forty-six billion, seven hundred forty-one million, one hundred forty-six thousand, four hundred".