840470400 has 576 divisors, whose sum is σ = 3748867200. Its totient is φ = 174182400.

The previous prime is 840470369. The next prime is 840470401. The reversal of 840470400 is 4074048.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840470401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217411 + ... + 2217789.

It is an arithmetic number, because the mean of its divisors is an integer number (6508450).

Almost surely, 2^840470400 is an apocalyptic number.

840470400 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 840470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874433600).

840470400 is an abundant number, since it is smaller than the sum of its proper divisors (2908396800).

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

840470400 is a wasteful number, since it uses less digits than its factorization.

840470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 840470400 is about 28990.8675275508. The cubic root of 840470400 is about 943.7148904384.

The spelling of 840470400 in words is "eight hundred forty million, four hundred seventy thousand, four hundred".