46177920 has 96 divisors (see below), whose sum is σ = 159478020. Its totient is φ = 12312576.

The previous prime is 46177919. The next prime is 46177921. The reversal of 46177920 is 2977164.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46177919) and next prime (46177921).

It can be written as a sum of positive squares in 2 ways, for example, as 46131264 + 46656 = 6792^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (46177921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1752 + ... + 9768.

Almost surely, 2^46177920 is an apocalyptic number.

46177920 is a gapful number since it is divisible by the number (40) 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 46177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79739010).

46177920 is an abundant number, since it is smaller than the sum of its proper divisors (113300100).

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

46177920 is a wasteful number, since it uses less digits than its factorization.

46177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 46177920 is about 6795.4337609898. The cubic root of 46177920 is about 358.7661463270.

The spelling of 46177920 in words is "forty-six million, one hundred seventy-seven thousand, nine hundred twenty".