46110400 has 168 divisors, whose sum is σ = 136062720. Its totient is φ = 15037440.

The previous prime is 46110373. The next prime is 46110403. The reversal of 46110400 is 401164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (46110403) 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, 257511 + ... + 257689.

Almost surely, 2^46110400 is an apocalyptic number.

46110400 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 46110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68031360).

46110400 is an abundant number, since it is smaller than the sum of its proper divisors (89952320).

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

46110400 is a wasteful number, since it uses less digits than its factorization.

46110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 46110400 is about 6790.4639016786. The cubic root of 46110400 is about 358.5912019215.

Adding to 46110400 its reverse (401164), we get a palindrome (46511564).

The spelling of 46110400 in words is "forty-six million, one hundred ten thousand, four hundred".