46160400 has 240 divisors, whose sum is σ = 174363840. Its totient is φ = 10291200.

The previous prime is 46160399. The next prime is 46160407. The reversal of 46160400 is 406164.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (46160407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171466 + ... + 171734.

It is an arithmetic number, because the mean of its divisors is an integer number (726516).

Almost surely, 2^46160400 is an apocalyptic number.

46160400 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 46160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87181920).

46160400 is an abundant number, since it is smaller than the sum of its proper divisors (128203440).

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

46160400 is a wasteful number, since it uses less digits than its factorization.

46160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 46160400 is about 6794.1445377619. The cubic root of 46160400 is about 358.7207683774.

Adding to 46160400 its reverse (406164), we get a palindrome (46566564).

The spelling of 46160400 in words is "forty-six million, one hundred sixty thousand, four hundred".