84459440 has 60 divisors (see below), whose sum is σ = 212669424. Its totient is φ = 31180032.

The previous prime is 84459437. The next prime is 84459443. The reversal of 84459440 is 4495448.

It is an interprime number because it is at equal distance from previous prime (84459437) and next prime (84459443).

It is a super-2 number, since 2×84459440² = 14266794010227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84459394 and 84459403.

It is not an unprimeable number, because it can be changed into a prime (84459443) 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 11 ways as a sum of consecutive naturals, for example, 10397 + ... + 16643.

Almost surely, 2^84459440 is an apocalyptic number.

84459440 is a gapful number since it is divisible by the number (80) 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 84459440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106334712).

84459440 is an abundant number, since it is smaller than the sum of its proper divisors (128209984).

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

84459440 is a wasteful number, since it uses less digits than its factorization.

84459440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6286 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 84459440 is about 9190.1817174635. The cubic root of 84459440 is about 438.7489254660.

The spelling of 84459440 in words is "eighty-four million, four hundred fifty-nine thousand, four hundred forty".