449377920 has 96 divisors (see below), whose sum is σ = 1551778020. Its totient is φ = 119832576.

The previous prime is 449377867. The next prime is 449377961. The reversal of 449377920 is 29773944.

449377920 is a `hidden beast` number, since 4 + 493 + 77 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 362217024 + 87160896 = 19032^2 + 9336^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33249 + ... + 44768.

Almost surely, 2^449377920 is an apocalyptic number.

449377920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449377920 is an abundant number, since it is smaller than the sum of its proper divisors (1102400100).

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

449377920 is a wasteful number, since it uses less digits than its factorization.

449377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78042 (or 78027 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 449377920 is about 21198.5357984933. The cubic root of 449377920 is about 765.9561541665.

The spelling of 449377920 in words is "four hundred forty-nine million, three hundred seventy-seven thousand, nine hundred twenty".