449152704 has 672 divisors, whose sum is σ = 1863912960. Its totient is φ = 99532800.

The previous prime is 449152681. The next prime is 449152709. The reversal of 449152704 is 407251944.

It is a happy number.

449152704 is a `hidden beast` number, since 44 + 91 + 527 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (449152709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10954924 + ... + 10954964.

It is an arithmetic number, because the mean of its divisors is an integer number (2773680).

Almost surely, 2^449152704 is an apocalyptic number.

449152704 is a gapful number since it is divisible by the number (44) 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 449152704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931956480).

449152704 is an abundant number, since it is smaller than the sum of its proper divisors (1414760256).

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

449152704 is a wasteful number, since it uses less digits than its factorization.

449152704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 449152704 is about 21193.2230677639. The cubic root of 449152704 is about 765.8281739817.

The spelling of 449152704 in words is "four hundred forty-nine million, one hundred fifty-two thousand, seven hundred four".