408048444000 has 288 divisors, whose sum is σ = 1498104447840. Its totient is φ = 105060480000.

The previous prime is 408048443969. The next prime is 408048444007. The reversal of 408048444000 is 444840804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×408048444000² (a number of 24 digits) 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 not an unprimeable number, because it can be changed into a prime (408048444007) 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, 848575 + ... + 1239425.

It is an arithmetic number, because the mean of its divisors is an integer number (5201751555).

Almost surely, 2^408048444000 is an apocalyptic number.

408048444000 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 408048444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749052223920).

408048444000 is an abundant number, since it is smaller than the sum of its proper divisors (1090056003840).

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

408048444000 is a wasteful number, since it uses less digits than its factorization.

408048444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390911 (or 390890 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 408048444000 in words is "four hundred eight billion, forty-eight million, four hundred forty-four thousand".