46744400 has 60 divisors (see below), whose sum is σ = 113255772. Its totient is φ = 18539520.

The previous prime is 46744393. The next prime is 46744403. The reversal of 46744400 is 444764.

It can be written as a sum of positive squares in 6 ways, for example, as 6091024 + 40653376 = 2468^2 + 6376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46744403) 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, 54374 + ... + 55226.

Almost surely, 2^46744400 is an apocalyptic number.

46744400 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 46744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56627886).

46744400 is an abundant number, since it is smaller than the sum of its proper divisors (66511372).

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

46744400 is a wasteful number, since it uses less digits than its factorization.

46744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 46744400 is about 6836.9876407669. The cubic root of 46744400 is about 360.2272228077.

The spelling of 46744400 in words is "forty-six million, seven hundred forty-four thousand, four hundred".