862749468 has 180 divisors, whose sum is σ = 2709803712. Its totient is φ = 238412160.

The previous prime is 862749467. The next prime is 862749487. The reversal of 862749468 is 864947268.

862749468 is a `hidden beast` number, since 8 + 627 + 4 + 9 + 4 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (862749467) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 491280 + ... + 493032.

Almost surely, 2^862749468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 862749468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354901856).

862749468 is an abundant number, since it is smaller than the sum of its proper divisors (1847054244).

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

862749468 is a wasteful number, since it uses less digits than its factorization.

862749468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1796 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 862749468 is about 29372.5972293905. The cubic root of 862749468 is about 951.9808963871.

The spelling of 862749468 in words is "eight hundred sixty-two million, seven hundred forty-nine thousand, four hundred sixty-eight".