846172404 has 288 divisors, whose sum is σ = 2829066240. Its totient is φ = 206841600.

The previous prime is 846172403. The next prime is 846172423. The reversal of 846172404 is 404271648.

846172404 is a `hidden beast` number, since 84 + 6 + 172 + 404 = 666.

It is a super-2 number, since 2×846172404² = 1432015474582278432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846172403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3694962 + ... + 3695190.

Almost surely, 2^846172404 is an apocalyptic number.

846172404 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 846172404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414533120).

846172404 is an abundant number, since it is smaller than the sum of its proper divisors (1982893836).

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

846172404 is a wasteful number, since it uses less digits than its factorization.

846172404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 846172404 is about 29089.0426793320. The cubic root of 846172404 is about 945.8442308710.

The spelling of 846172404 in words is "eight hundred forty-six million, one hundred seventy-two thousand, four hundred four".