5458602240 has 864 divisors, whose sum is σ = 23998980096. Its totient is φ = 1114767360.

The previous prime is 5458602223. The next prime is 5458602257. The reversal of 5458602240 is 422068545.

It is a happy number.

5458602240 is a `hidden beast` number, since 5 + 4 + 5 + 8 + 602 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5458602223) and next prime (5458602257).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 5458602195 and 5458602204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42981057 + ... + 42981183.

Almost surely, 2^5458602240 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 5458602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999490048).

5458602240 is an abundant number, since it is smaller than the sum of its proper divisors (18540377856).

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

5458602240 is a wasteful number, since it uses less digits than its factorization.

5458602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

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

The square root of 5458602240 is about 73882.3540502061. The cubic root of 5458602240 is about 1760.7342666264.

The spelling of 5458602240 in words is "five billion, four hundred fifty-eight million, six hundred two thousand, two hundred forty".