408430294272 has 1296 divisors, whose sum is σ = 1670741497152. Its totient is φ = 97820835840.

The previous prime is 408430294271. The next prime is 408430294313. The reversal of 408430294272 is 272492034804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×408430294272² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408430294271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 435890988 + ... + 435891924.

Almost surely, 2^408430294272 is an apocalyptic number.

408430294272 is a gapful number since it is divisible by the number (42) 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 408430294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835370748576).

408430294272 is an abundant number, since it is smaller than the sum of its proper divisors (1262311202880).

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

408430294272 is a wasteful number, since it uses less digits than its factorization.

408430294272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 408430294272 in words is "four hundred eight billion, four hundred thirty million, two hundred ninety-four thousand, two hundred seventy-two".