450534394620 has 960 divisors, whose sum is σ = 1601781350400. Its totient is φ = 105571952640.

The previous prime is 450534394613. The next prime is 450534394627. The reversal of 450534394620 is 26493435054.

450534394620 is a `hidden beast` number, since 4 + 5 + 0 + 534 + 3 + 94 + 6 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (450534394613) and next prime (450534394627).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450534394627) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2358818725 + ... + 2358818915.

It is an arithmetic number, because the mean of its divisors is an integer number (1668522240).

Almost surely, 2^450534394620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450534394620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800890675200).

450534394620 is an abundant number, since it is smaller than the sum of its proper divisors (1151246955780).

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

450534394620 is a wasteful number, since it uses less digits than its factorization.

450534394620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 450534394620 in words is "four hundred fifty billion, five hundred thirty-four million, three hundred ninety-four thousand, six hundred twenty".