449756715240 has 192 divisors, whose sum is σ = 1732396498560. Its totient is φ = 102801519360.

The previous prime is 449756715217. The next prime is 449756715241. The reversal of 449756715240 is 42517657944.

449756715240 is a `hidden beast` number, since 4 + 49 + 7 + 5 + 6 + 71 + 524 + 0 = 666.

It is a super-2 number, since 2×449756715240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (449756715241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3237051 + ... + 3373130.

It is an arithmetic number, because the mean of its divisors is an integer number (9022898430).

Almost surely, 2^449756715240 is an apocalyptic number.

449756715240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449756715240 is an abundant number, since it is smaller than the sum of its proper divisors (1282639783320).

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

449756715240 is a wasteful number, since it uses less digits than its factorization.

449756715240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610214 (or 6610198 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 449756715240 in words is "four hundred forty-nine billion, seven hundred fifty-six million, seven hundred fifteen thousand, two hundred forty".