449451858240 has 2688 divisors, whose sum is σ = 2208254054400. Its totient is φ = 83308953600.

The previous prime is 449451858239. The next prime is 449451858253. The reversal of 449451858240 is 42858154944.

449451858240 is a `hidden beast` number, since 4 + 4 + 9 + 4 + 5 + 18 + 582 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12147347502 + ... + 12147347538.

Almost surely, 2^449451858240 is an apocalyptic number.

449451858240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449451858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104127027200).

449451858240 is an abundant number, since it is smaller than the sum of its proper divisors (1758802196160).

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

449451858240 is a wasteful number, since it uses less digits than its factorization.

449451858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 449451858240 in words is "four hundred forty-nine billion, four hundred fifty-one million, eight hundred fifty-eight thousand, two hundred forty".