46170456 has 72 divisors (see below), whose sum is σ = 123512580. Its totient is φ = 14380416.

The previous prime is 46170451. The next prime is 46170457. The reversal of 46170456 is 65407164.

46170456 = T₁₀₈₈ + T₁₀₈₉ + ... + T₁₁₆₀.

It is a super-2 number, since 2×46170456² = 4263422014495872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46170451) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 632436 + ... + 632508.

Almost surely, 2^46170456 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 46170456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61756290).

46170456 is an abundant number, since it is smaller than the sum of its proper divisors (77342124).

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

46170456 is a wasteful number, since it uses less digits than its factorization.

46170456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 46170456 is about 6794.8845464805. The cubic root of 46170456 is about 358.7468154808.

The spelling of 46170456 in words is "forty-six million, one hundred seventy thousand, four hundred fifty-six".