834470400 has 240 divisors, whose sum is σ = 2849603328. Its totient is φ = 215040000.

The previous prime is 834470363. The next prime is 834470401. The reversal of 834470400 is 4074438.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (834470401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190050 + ... + 1190750.

Almost surely, 2^834470400 is an apocalyptic number.

834470400 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 834470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424801664).

834470400 is an abundant number, since it is smaller than the sum of its proper divisors (2015132928).

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

834470400 is a wasteful number, since it uses less digits than its factorization.

834470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 834470400 is about 28887.2013182309. The cubic root of 834470400 is about 941.4638426391.

The spelling of 834470400 in words is "eight hundred thirty-four million, four hundred seventy thousand, four hundred".