287374464 has 192 divisors, whose sum is σ = 920774400. Its totient is φ = 85432320.

The previous prime is 287374459. The next prime is 287374471. The reversal of 287374464 is 464473782.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463947 + ... + 464565.

It is an arithmetic number, because the mean of its divisors is an integer number (4795700).

Almost surely, 2^287374464 is an apocalyptic number.

287374464 is a gapful number since it is divisible by the number (24) 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 287374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460387200).

287374464 is an abundant number, since it is smaller than the sum of its proper divisors (633399936).

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

287374464 is a wasteful number, since it uses less digits than its factorization.

287374464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 668 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 287374464 is about 16952.1226989425. The cubic root of 287374464 is about 659.9069841368.

The spelling of 287374464 in words is "two hundred eighty-seven million, three hundred seventy-four thousand, four hundred sixty-four".