408467117302272 has 1280 divisors, whose sum is σ = 1410385169571840. Its totient is φ = 115749997608960.

The previous prime is 408467117302147. The next prime is 408467117302373. The reversal of 408467117302272 is 272203711764804.

It is a happy number.

408467117302272 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 67 + 1 + 1 + 7 + 302 + 272 = 666.

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

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, 812061863173 + ... + 812061863675.

It is an arithmetic number, because the mean of its divisors is an integer number (1101863413728).

Almost surely, 2^{408467117302272} is an apocalyptic number.

408467117302272 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 408467117302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705192584785920).

408467117302272 is an abundant number, since it is smaller than the sum of its proper divisors (1001918052269568).

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

408467117302272 is an frugal number, since it uses more digits than its factorization.

408467117302272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 408467117302272 in words is "four hundred eight trillion, four hundred sixty-seven billion, one hundred seventeen million, three hundred two thousand, two hundred seventy-two".