814154004 has 144 divisors (see below), whose sum is σ = 2339064000. Its totient is φ = 246468096.

The previous prime is 814153999. The next prime is 814154017. The reversal of 814154004 is 400451418.

It is a happy number.

814154004 is a `hidden beast` number, since 81 + 41 + 540 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478347 + ... + 480045.

It is an arithmetic number, because the mean of its divisors is an integer number (16243500).

Almost surely, 2^814154004 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 814154004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169532000).

814154004 is an abundant number, since it is smaller than the sum of its proper divisors (1524909996).

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

814154004 is a wasteful number, since it uses less digits than its factorization.

814154004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 814154004 is about 28533.3840264347. The cubic root of 814154004 is about 933.7605485817.

The spelling of 814154004 in words is "eight hundred fourteen million, one hundred fifty-four thousand, four".