814070400 has 384 divisors, whose sum is σ = 3155423040. Its totient is φ = 181862400.

The previous prime is 814070363. The next prime is 814070401. The reversal of 814070400 is 4070418.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (814070401) 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 47 ways as a sum of consecutive naturals, for example, 1372504 + ... + 1373096.

Almost surely, 2^814070400 is an apocalyptic number.

814070400 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 814070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577711520).

814070400 is an abundant number, since it is smaller than the sum of its proper divisors (2341352640).

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

814070400 is a wasteful number, since it uses less digits than its factorization.

814070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 814070400 is about 28531.9189680610. The cubic root of 814070400 is about 933.7285854277.

The spelling of 814070400 in words is "eight hundred fourteen million, seventy thousand, four hundred".