834892464 has 160 divisors (see below), whose sum is σ = 2535266304. Its totient is φ = 231828480.

The previous prime is 834892453. The next prime is 834892469. The reversal of 834892464 is 464298438.

It is a super-3 number, since 3×834892464³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (834892469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3080649 + ... + 3080919.

Almost surely, 2^834892464 is an apocalyptic number.

834892464 is a gapful number since it is divisible by the number (84) 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 834892464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267633152).

834892464 is an abundant number, since it is smaller than the sum of its proper divisors (1700373840).

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

834892464 is a wasteful number, since it uses less digits than its factorization.

834892464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 834892464 is about 28894.5057753200. The cubic root of 834892464 is about 941.6225425048.

The spelling of 834892464 in words is "eight hundred thirty-four million, eight hundred ninety-two thousand, four hundred sixty-four".