287401464 has 72 divisors (see below), whose sum is σ = 905472360. Its totient is φ = 82113696.

The previous prime is 287401463. The next prime is 287401469. The reversal of 287401464 is 464104782.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287401463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37204 + ... + 44259.

It is an arithmetic number, because the mean of its divisors is an integer number (12576005).

Almost surely, 2^287401464 is an apocalyptic number.

287401464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

287401464 is an abundant number, since it is smaller than the sum of its proper divisors (618070896).

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

287401464 is a wasteful number, since it uses less digits than its factorization.

287401464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81489 (or 81475 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 287401464 is about 16952.9190406844. The cubic root of 287401464 is about 659.9276504715.

The spelling of 287401464 in words is "two hundred eighty-seven million, four hundred one thousand, four hundred sixty-four".