405156540 has 48 divisors (see below), whose sum is σ = 1153676160. Its totient is φ = 106209600.

The previous prime is 405156533. The next prime is 405156553. The reversal of 405156540 is 45651504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 405156498 and 405156507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53686 + ... + 60765.

It is an arithmetic number, because the mean of its divisors is an integer number (24034920).

Almost surely, 2^405156540 is an apocalyptic number.

It is an amenable number.

405156540 is an abundant number, since it is smaller than the sum of its proper divisors (748519620).

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

405156540 is a wasteful number, since it uses less digits than its factorization.

405156540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114522 (or 114520 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 405156540 is about 20128.5006893211. The cubic root of 405156540 is about 739.9589336841.

The spelling of 405156540 in words is "four hundred five million, one hundred fifty-six thousand, five hundred forty".