6020400456 has 96 divisors (see below), whose sum is σ = 18781501440. Its totient is φ = 1706552064.

The previous prime is 6020400431. The next prime is 6020400467. The reversal of 6020400456 is 6540040206.

It is a happy number.

6020400456 is a `hidden beast` number, since 6 + 0 + 204 + 0 + 0 + 456 = 666.

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 23 ways as a sum of consecutive naturals, for example, 16980 + ... + 111036.

It is an arithmetic number, because the mean of its divisors is an integer number (195640640).

Almost surely, 2^6020400456 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 6020400456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9390750720).

6020400456 is an abundant number, since it is smaller than the sum of its proper divisors (12761100984).

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

6020400456 is a wasteful number, since it uses less digits than its factorization.

6020400456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94203 (or 94196 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6020400456 is about 77591.2395570531. The cubic root of 6020400456 is about 1819.1777125086.

The spelling of 6020400456 in words is "six billion, twenty million, four hundred thousand, four hundred fifty-six".