867493440 has 336 divisors, whose sum is σ = 3295131840. Its totient is φ = 207728640.

The previous prime is 867493433. The next prime is 867493441. The reversal of 867493440 is 44394768.

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 (867493441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4403422 + ... + 4403618.

It is an arithmetic number, because the mean of its divisors is an integer number (9806940).

Almost surely, 2^867493440 is an apocalyptic number.

867493440 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 867493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647565920).

867493440 is an abundant number, since it is smaller than the sum of its proper divisors (2427638400).

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

867493440 is a wasteful number, since it uses less digits than its factorization.

867493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 867493440 is about 29453.2415873024. The cubic root of 867493440 is about 953.7225832611.

The spelling of 867493440 in words is "eight hundred sixty-seven million, four hundred ninety-three thousand, four hundred forty".