405324540 has 192 divisors, whose sum is σ = 1357171200. Its totient is φ = 100058112.

The previous prime is 405324533. The next prime is 405324541. The reversal of 405324540 is 45423504.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405324541) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 614731 + ... + 615389.

It is an arithmetic number, because the mean of its divisors is an integer number (7068600).

Almost surely, 2^405324540 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 405324540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678585600).

405324540 is an abundant number, since it is smaller than the sum of its proper divisors (951846660).

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

405324540 is a wasteful number, since it uses less digits than its factorization.

405324540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 405324540 is about 20132.6734439319. The cubic root of 405324540 is about 740.0611953288.

The spelling of 405324540 in words is "four hundred five million, three hundred twenty-four thousand, five hundred forty".