449954352432 has 160 divisors (see below), whose sum is σ = 1391195332800. Its totient is φ = 138416560128.

The previous prime is 449954352431. The next prime is 449954352433. The reversal of 449954352432 is 234253459944.

It is a happy number.

449954352432 is a `hidden beast` number, since 4 + 4 + 9 + 9 + 543 + 52 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (449954352431) and next prime (449954352433).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (449954352431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50163244 + ... + 50172212.

It is an arithmetic number, because the mean of its divisors is an integer number (8694970830).

Almost surely, 2^449954352432 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 449954352432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695597666400).

449954352432 is an abundant number, since it is smaller than the sum of its proper divisors (941240980368).

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

449954352432 is a wasteful number, since it uses less digits than its factorization.

449954352432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17932 (or 17920 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 449954352432 in words is "four hundred forty-nine billion, nine hundred fifty-four million, three hundred fifty-two thousand, four hundred thirty-two".