405461417472 has 480 divisors, whose sum is σ = 1309519122912. Its totient is φ = 124769009664.

The previous prime is 405461417447. The next prime is 405461417497. The reversal of 405461417472 is 274714164504.

405461417472 is a `hidden beast` number, since 40 + 546 + 14 + 17 + 47 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (405461417447) and next prime (405461417497).

It is a super-2 number, since 2×405461417472² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112097008 + ... + 112100624.

Almost surely, 2^405461417472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405461417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654759561456).

405461417472 is an abundant number, since it is smaller than the sum of its proper divisors (904057705440).

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

405461417472 is an equidigital number, since it uses as much as digits as its factorization.

405461417472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 405461417472 in words is "four hundred five billion, four hundred sixty-one million, four hundred seventeen thousand, four hundred seventy-two".