1535563980 has 240 divisors, whose sum is σ = 5028740640. Its totient is φ = 391910400.

The previous prime is 1535563969. The next prime is 1535564011. The reversal of 1535563980 is 893655351.

1535563980 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 5 + 639 + 8 + 0 = 666.

1535563980 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 4051431 + ... + 4051809.

It is an arithmetic number, because the mean of its divisors is an integer number (20953086).

Almost surely, 2^1535563980 is an apocalyptic number.

1535563980 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 1535563980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514370320).

1535563980 is an abundant number, since it is smaller than the sum of its proper divisors (3493176660).

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

1535563980 is a wasteful number, since it uses less digits than its factorization.

1535563980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 1535563980 is about 39186.2728515994. The cubic root of 1535563980 is about 1153.6904706261.

The spelling of 1535563980 in words is "one billion, five hundred thirty-five million, five hundred sixty-three thousand, nine hundred eighty".