5429400480 has 288 divisors, whose sum is σ = 22289904000. Its totient is φ = 1175648256.

The previous prime is 5429400479. The next prime is 5429400511. The reversal of 5429400480 is 840049245.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177346 + ... + 205694.

It is an arithmetic number, because the mean of its divisors is an integer number (77395500).

Almost surely, 2^5429400480 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 5429400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144952000).

5429400480 is an abundant number, since it is smaller than the sum of its proper divisors (16860503520).

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

5429400480 is a wasteful number, since it uses less digits than its factorization.

5429400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28396 (or 28385 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5429400480 is about 73684.4656627162. The cubic root of 5429400480 is about 1757.5888643186.

The spelling of 5429400480 in words is "five billion, four hundred twenty-nine million, four hundred thousand, four hundred eighty".