5405460480 has 960 divisors, whose sum is σ = 23783760000. Its totient is φ = 1170505728.

The previous prime is 5405460443. The next prime is 5405460521. The reversal of 5405460480 is 840645045.

5405460480 is a `hidden beast` number, since 5 + 40 + 5 + 4 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 284497911 + ... + 284497929.

It is an arithmetic number, because the mean of its divisors is an integer number (24774750).

Almost surely, 2^5405460480 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 5405460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891880000).

5405460480 is an abundant number, since it is smaller than the sum of its proper divisors (18378299520).

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

5405460480 is an equidigital number, since it uses as much as digits as its factorization.

5405460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5405460480 is about 73521.8367561638. The cubic root of 5405460480 is about 1755.0017970615.

The spelling of 5405460480 in words is "five billion, four hundred five million, four hundred sixty thousand, four hundred eighty".