449349012 has 288 divisors, whose sum is σ = 1474704000. Its totient is φ = 117573120.

The previous prime is 449348951. The next prime is 449349023. The reversal of 449349012 is 210943944.

It is a super-2 number, since 2×449349012² = 403829069170752288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4122414 + ... + 4122522.

It is an arithmetic number, because the mean of its divisors is an integer number (5120500).

Almost surely, 2^449349012 is an apocalyptic number.

449349012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

449349012 is the 13407-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449349012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737352000).

449349012 is an abundant number, since it is smaller than the sum of its proper divisors (1025354988).

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

449349012 is a wasteful number, since it uses less digits than its factorization.

449349012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 449349012 is about 21197.8539479826. The cubic root of 449349012 is about 765.9397294347.

The spelling of 449349012 in words is "four hundred forty-nine million, three hundred forty-nine thousand, twelve".