405467640 has 128 divisors (see below), whose sum is σ = 1383148800. Its totient is φ = 105598080.

The previous prime is 405467611. The next prime is 405467651. The reversal of 405467640 is 46764504.

405467640 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 6 + 7 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 405467595 and 405467604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42075 + ... + 50805.

It is an arithmetic number, because the mean of its divisors is an integer number (10805850).

Almost surely, 2^405467640 is an apocalyptic number.

405467640 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 405467640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691574400).

405467640 is an abundant number, since it is smaller than the sum of its proper divisors (977681160).

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

405467640 is a wasteful number, since it uses less digits than its factorization.

405467640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8794 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 405467640 is about 20136.2270547389. The cubic root of 405467640 is about 740.1482780539.

The spelling of 405467640 in words is "four hundred five million, four hundred sixty-seven thousand, six hundred forty".