4892590080 has 544 divisors, whose sum is σ = 20132505600. Its totient is φ = 1104150528.

The previous prime is 4892590063. The next prime is 4892590091. The reversal of 4892590080 is 800952984.

4892590080 is a `hidden beast` number, since 489 + 2 + 5 + 90 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61931481 + ... + 61931559.

Almost surely, 2^4892590080 is an apocalyptic number.

4892590080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4892590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10066252800).

4892590080 is an abundant number, since it is smaller than the sum of its proper divisors (15239915520).

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

4892590080 is an frugal number, since it uses more digits than its factorization.

4892590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4892590080 is about 69947.0519750475. The cubic root of 4892590080 is about 1697.6426472698.

The spelling of 4892590080 in words is "four billion, eight hundred ninety-two million, five hundred ninety thousand, eighty".