2405460960 has 432 divisors, whose sum is σ = 9700353936. Its totient is φ = 541126656.

The previous prime is 2405460949. The next prime is 2405460973. The reversal of 2405460960 is 690645042.

2405460960 is a `hidden beast` number, since 2 + 40 + 5 + 4 + 609 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5150647 + ... + 5151113.

It is an arithmetic number, because the mean of its divisors is an integer number (22454523).

Almost surely, 2^2405460960 is an apocalyptic number.

2405460960 is a gapful number since it is divisible by the number (20) 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 2405460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850176968).

2405460960 is an abundant number, since it is smaller than the sum of its proper divisors (7294892976).

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

2405460960 is a wasteful number, since it uses less digits than its factorization.

2405460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2405460960 is about 49045.4988760437. The cubic root of 2405460960 is about 1339.8806160813.

The spelling of 2405460960 in words is "two billion, four hundred five million, four hundred sixty thousand, nine hundred sixty".