447299701669400 has 384 divisors, whose sum is σ = 1088669762640000. Its totient is φ = 170762219274240.

The previous prime is 447299701669397. The next prime is 447299701669409. The reversal of 447299701669400 is 4966107992744.

It is a super-2 number, since 2×447299701669400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447299701669409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96463163882 + ... + 96463168518.

It is an arithmetic number, because the mean of its divisors is an integer number (2835077506875).

Almost surely, 2^{447299701669400} is an apocalyptic number.

447299701669400 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 447299701669400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544334881320000).

447299701669400 is an abundant number, since it is smaller than the sum of its proper divisors (641370060970600).

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

447299701669400 is a wasteful number, since it uses less digits than its factorization.

447299701669400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 68.

The spelling of 447299701669400 in words is "four hundred forty-seven trillion, two hundred ninety-nine billion, seven hundred one million, six hundred sixty-nine thousand, four hundred".