405609120 has 480 divisors, whose sum is σ = 1738775808. Its totient is φ = 86925312.

The previous prime is 405609101. The next prime is 405609121. The reversal of 405609120 is 21906504.

405609120 is a `hidden beast` number, since 40 + 5 + 609 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (405609121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1542109 + ... + 1542371.

Almost surely, 2^405609120 is an apocalyptic number.

405609120 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 405609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869387904).

405609120 is an abundant number, since it is smaller than the sum of its proper divisors (1333166688).

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

405609120 is a wasteful number, since it uses less digits than its factorization.

405609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 405609120 is about 20139.7398195707. The cubic root of 405609120 is about 740.2343547966.

The spelling of 405609120 in words is "four hundred five million, six hundred nine thousand, one hundred twenty".