46161600 has 168 divisors, whose sum is σ = 154960320. Its totient is φ = 12026880.

The previous prime is 46161589. The next prime is 46161601. The reversal of 46161600 is 616164.

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 (46161601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283119 + ... + 283281.

Almost surely, 2^46161600 is an apocalyptic number.

46161600 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 46161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77480160).

46161600 is an abundant number, since it is smaller than the sum of its proper divisors (108798720).

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

46161600 is a wasteful number, since it uses less digits than its factorization.

46161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 46161600 is about 6794.2328485268. The cubic root of 46161600 is about 358.7238768224.

Adding to 46161600 its reverse (616164), we get a palindrome (46777764).

It can be divided in two parts, 4616 and 1600, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 46161600 in words is "forty-six million, one hundred sixty-one thousand, six hundred".