40464200 has 72 divisors (see below), whose sum is σ = 109465650. Its totient is φ = 13870080.

The previous prime is 40464191. The next prime is 40464209. The reversal of 40464200 is 246404.

40464200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40464191) and next prime (40464209).

It can be written as a sum of positive squares in 3 ways, for example, as 30891364 + 9572836 = 5558^2 + 3094^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40464209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7736 + ... + 11864.

Almost surely, 2^40464200 is an apocalyptic number.

40464200 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 40464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54732825).

40464200 is an abundant number, since it is smaller than the sum of its proper divisors (69001450).

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

40464200 is a wasteful number, since it uses less digits than its factorization.

40464200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 40464200 is about 6361.1476951883. The cubic root of 40464200 is about 343.3130558504.

The spelling of 40464200 in words is "forty million, four hundred sixty-four thousand, two hundred".