405012960 has 288 divisors, whose sum is σ = 1565246592. Its totient is φ = 98081280.

The previous prime is 405012953. The next prime is 405012961. The reversal of 405012960 is 69210504.

It is a tau number, because it is divible by the number of its divisors (288).

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 (405012961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427207 + ... + 428153.

It is an arithmetic number, because the mean of its divisors is an integer number (5434884).

Almost surely, 2^405012960 is an apocalyptic number.

405012960 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 405012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782623296).

405012960 is an abundant number, since it is smaller than the sum of its proper divisors (1160233632).

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

405012960 is a wasteful number, since it uses less digits than its factorization.

405012960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 968 counting only the distinct ones).

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

The square root of 405012960 is about 20124.9337887110. The cubic root of 405012960 is about 739.8715140936.

The spelling of 405012960 in words is "four hundred five million, twelve thousand, nine hundred sixty".