1020384540 has 480 divisors, whose sum is σ = 3981035520. Its totient is φ = 213497856.

The previous prime is 1020384509. The next prime is 1020384551. The reversal of 1020384540 is 454830201.

1020384540 is a `hidden beast` number, since 1 + 0 + 203 + 8 + 454 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12916221 + ... + 12916299.

It is an arithmetic number, because the mean of its divisors is an integer number (8293824).

Almost surely, 2^1020384540 is an apocalyptic number.

1020384540 is a gapful number since it is divisible by the number (10) 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 1020384540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990517760).

1020384540 is an abundant number, since it is smaller than the sum of its proper divisors (2960650980).

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

1020384540 is a wasteful number, since it uses less digits than its factorization.

1020384540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1020384540 is about 31943.4584852674. The cubic root of 1020384540 is about 1006.7491925872.

The spelling of 1020384540 in words is "one billion, twenty million, three hundred eighty-four thousand, five hundred forty".