408852269280 has 1920 divisors, whose sum is σ = 1876613308416. Its totient is φ = 81517363200.

The previous prime is 408852269269. The next prime is 408852269281. The reversal of 408852269280 is 82962258804.

It is a happy number.

408852269280 is a `hidden beast` number, since 408 + 8 + 5 + 226 + 9 + 2 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408852269281) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1937688375 + ... + 1937688585.

Almost surely, 2^408852269280 is an apocalyptic number.

408852269280 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 408852269280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938306654208).

408852269280 is an abundant number, since it is smaller than the sum of its proper divisors (1467761039136).

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

408852269280 is a wasteful number, since it uses less digits than its factorization.

408852269280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 408852269280 in words is "four hundred eight billion, eight hundred fifty-two million, two hundred sixty-nine thousand, two hundred eighty".