449374752288 has 1458 divisors, whose sum is σ = 1790734717863. Its totient is φ = 110577519360.

The previous prime is 449374752259. The next prime is 449374752331. The reversal of 449374752288 is 882257473944.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

449374752288 is a `hidden beast` number, since 4 + 493 + 7 + 47 + 5 + 22 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 224687376144 + 224687376144 = 474012^2 + 474012^2 .

It is a tau number, because it is divible by the number of its divisors (1458).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=474012.

It is a super-2 number, since 2×449374752288² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (108380160) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 23651302743 + ... + 23651302761.

Almost surely, 2^449374752288 is an apocalyptic number.

449374752288 is a gapful number since it is divisible by the number (48) 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 449374752288

449374752288 is an abundant number, since it is smaller than the sum of its proper divisors (1341359965575).

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

449374752288 is an equidigital number, since it uses as much as digits as its factorization.

449374752288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 42 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 449374752288 in words is "four hundred forty-nine billion, three hundred seventy-four million, seven hundred fifty-two thousand, two hundred eighty-eight".