5434578240 has 336 divisors, whose sum is σ = 21618317952. Its totient is φ = 1146507264.

The previous prime is 5434578229. The next prime is 5434578251. The reversal of 5434578240 is 428754345.

It is an interprime number because it is at equal distance from previous prime (5434578229) and next prime (5434578251).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5434578192 and 5434578201.

It is a congruent number.

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, 607077 + ... + 615963.

It is an arithmetic number, because the mean of its divisors is an integer number (64340232).

Almost surely, 2^5434578240 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 5434578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10809158976).

5434578240 is an abundant number, since it is smaller than the sum of its proper divisors (16183739712).

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

5434578240 is a wasteful number, since it uses less digits than its factorization.

5434578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8934 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The square root of 5434578240 is about 73719.5919684856. The cubic root of 5434578240 is about 1758.1473963345.

The spelling of 5434578240 in words is "five billion, four hundred thirty-four million, five hundred seventy-eight thousand, two hundred forty".