449735040 has 96 divisors (see below), whose sum is σ = 1553011200. Its totient is φ = 119927808.

The previous prime is 449735029. The next prime is 449735053. The reversal of 449735040 is 40537944.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 449734986 and 449735004.

It is a congruent number.

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, 33280 + ... + 44799.

It is an arithmetic number, because the mean of its divisors is an integer number (16177200).

Almost surely, 2^449735040 is an apocalyptic number.

449735040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449735040 is an abundant number, since it is smaller than the sum of its proper divisors (1103276160).

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

449735040 is a wasteful number, since it uses less digits than its factorization.

449735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78104 (or 78089 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 449735040 is about 21206.9573489457. The cubic root of 449735040 is about 766.1590018673.

The spelling of 449735040 in words is "four hundred forty-nine million, seven hundred thirty-five thousand, forty".