287465920 has 112 divisors (see below), whose sum is σ = 828446400. Its totient is φ = 92749824.

The previous prime is 287465917. The next prime is 287465923. The reversal of 287465920 is 29564782.

It is an interprime number because it is at equal distance from previous prime (287465917) and next prime (287465923).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×287465920² = 165273310322892800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287465923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34306 + ... + 41854.

Almost surely, 2^287465920 is an apocalyptic number.

287465920 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 287465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414223200).

287465920 is an abundant number, since it is smaller than the sum of its proper divisors (540980480).

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

287465920 is a wasteful number, since it uses less digits than its factorization.

287465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 287465920 is about 16954.8199636564. The cubic root of 287465920 is about 659.9769811378.

The spelling of 287465920 in words is "two hundred eighty-seven million, four hundred sixty-five thousand, nine hundred twenty".