287961480 has 320 divisors, whose sum is σ = 1037076480. Its totient is φ = 71539200.

The previous prime is 287961469. The next prime is 287961481. The reversal of 287961480 is 84169782.

287961480 is a `hidden beast` number, since 2 + 87 + 96 + 1 + 480 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (287961481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4720650 + ... + 4720710.

It is an arithmetic number, because the mean of its divisors is an integer number (3240864).

Almost surely, 2^287961480 is an apocalyptic number.

287961480 is a gapful number since it is divisible by the number (20) 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 287961480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518538240).

287961480 is an abundant number, since it is smaller than the sum of its proper divisors (749115000).

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

287961480 is a wasteful number, since it uses less digits than its factorization.

287961480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 287961480 is about 16969.4278041424. The cubic root of 287961480 is about 660.3560062816.

It can be divided in two parts, 28796 and 1480, that added together give a square (30276 = 174²).

The spelling of 287961480 in words is "two hundred eighty-seven million, nine hundred sixty-one thousand, four hundred eighty".