46776400 has 60 divisors (see below), whose sum is σ = 122608224. Its totient is φ = 17008000.

The previous prime is 46776377. The next prime is 46776403. The reversal of 46776400 is 467764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46776403) 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, 916 + ... + 9715.

Almost surely, 2^46776400 is an apocalyptic number.

46776400 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 46776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61304112).

46776400 is an abundant number, since it is smaller than the sum of its proper divisors (75831824).

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

46776400 is a wasteful number, since it uses less digits than its factorization.

46776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10660 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 46776400 is about 6839.3274523158. The cubic root of 46776400 is about 360.3094047854.

Multiplying 46776400 by its reverse (467764), we get a square (21880315969600 = 4677640²).

46776400 divided by its reverse (467764) gives a square (100 = 10²).

It can be divided in two parts, 467 and 76400, that added together give a palindrome (76867).

The spelling of 46776400 in words is "forty-six million, seven hundred seventy-six thousand, four hundred".