449604960 has 96 divisors (see below), whose sum is σ = 1618589952. Its totient is φ = 102766080.

The previous prime is 449604917. The next prime is 449604973. The reversal of 449604960 is 69406944.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63546 + ... + 70265.

It is an arithmetic number, because the mean of its divisors is an integer number (16860312).

Almost surely, 2^449604960 is an apocalyptic number.

449604960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449604960 is an abundant number, since it is smaller than the sum of its proper divisors (1168984992).

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

449604960 is a wasteful number, since it uses less digits than its factorization.

449604960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133836 (or 133828 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 449604960 is about 21203.8902091102. The cubic root of 449604960 is about 766.0851275752.

The spelling of 449604960 in words is "four hundred forty-nine million, six hundred four thousand, nine hundred sixty".