1987575480 has 384 divisors, whose sum is σ = 7359206400. Its totient is φ = 461030400.

The previous prime is 1987575467. The next prime is 1987575481. The reversal of 1987575480 is 845757891.

1987575480 is a `hidden beast` number, since 1 + 98 + 7 + 5 + 7 + 548 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987575481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10980990 + ... + 10981170.

It is an arithmetic number, because the mean of its divisors is an integer number (19164600).

Almost surely, 2^1987575480 is an apocalyptic number.

1987575480 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 1987575480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679603200).

1987575480 is an abundant number, since it is smaller than the sum of its proper divisors (5371630920).

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

1987575480 is a wasteful number, since it uses less digits than its factorization.

1987575480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The square root of 1987575480 is about 44582.2327839241. The cubic root of 1987575480 is about 1257.3066428920.

The spelling of 1987575480 in words is "one billion, nine hundred eighty-seven million, five hundred seventy-five thousand, four hundred eighty".