405999072 has 72 divisors (see below), whose sum is σ = 1194396840. Its totient is φ = 130663680.

The previous prime is 405999071. The next prime is 405999079. The reversal of 405999072 is 270999504.

405999072 is a `hidden beast` number, since 405 + 99 + 90 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×405999072² = 329670492929722368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405999071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15954 + ... + 32657.

It is an arithmetic number, because the mean of its divisors is an integer number (16588845).

Almost surely, 2^405999072 is an apocalyptic number.

It is an amenable number.

405999072 is an abundant number, since it is smaller than the sum of its proper divisors (788397768).

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

405999072 is a wasteful number, since it uses less digits than its factorization.

405999072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48656 (or 48645 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 405999072 is about 20149.4186516634. The cubic root of 405999072 is about 740.4714988826.

The spelling of 405999072 in words is "four hundred five million, nine hundred ninety-nine thousand, seventy-two".