449200926720 has 1664 divisors, whose sum is σ = 2007987609600. Its totient is φ = 92748644352.

The previous prime is 449200926701. The next prime is 449200926739. The reversal of 449200926720 is 27629002944.

It is a happy number.

449200926720 is a `hidden beast` number, since 4 + 492 + 0 + 0 + 92 + 6 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (449200926701) and next prime (449200926739).

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×449200926720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3975229384 + ... + 3975229496.

Almost surely, 2^449200926720 is an apocalyptic number.

449200926720 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 449200926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003993804800).

449200926720 is an abundant number, since it is smaller than the sum of its proper divisors (1558786682880).

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

449200926720 is a wasteful number, since it uses less digits than its factorization.

449200926720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 449200926720 in words is "four hundred forty-nine billion, two hundred million, nine hundred twenty-six thousand, seven hundred twenty".