5350461480 has 768 divisors, whose sum is σ = 23247544320. Its totient is φ = 1075700736.

The previous prime is 5350461449. The next prime is 5350461481. The reversal of 5350461480 is 841640535.

It is a happy number.

5350461480 is a `hidden beast` number, since 5 + 3 + 504 + 6 + 148 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5350461481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20343829 + ... + 20344091.

It is an arithmetic number, because the mean of its divisors is an integer number (30270240).

Almost surely, 2^5350461480 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 5350461480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11623772160).

5350461480 is an abundant number, since it is smaller than the sum of its proper divisors (17897082840).

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

5350461480 is a wasteful number, since it uses less digits than its factorization.

5350461480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5350461480 is about 73146.8487359503. The cubic root of 5350461480 is about 1749.0292825992.

The spelling of 5350461480 in words is "five billion, three hundred fifty million, four hundred sixty-one thousand, four hundred eighty".