40464000 has 192 divisors, whose sum is σ = 145833480. Its totient is φ = 10752000.

The previous prime is 40463999. The next prime is 40464001. The reversal of 40464000 is 46404.

It is an interprime number because it is at equal distance from previous prime (40463999) and next prime (40464001).

It can be written as a sum of positive squares in 4 ways, for example, as 15303744 + 25160256 = 3912^2 + 5016^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40464001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143860 + ... + 144140.

Almost surely, 2^40464000 is an apocalyptic number.

40464000 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 40464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72916740).

40464000 is an abundant number, since it is smaller than the sum of its proper divisors (105369480).

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

40464000 is a wasteful number, since it uses less digits than its factorization.

40464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40464000 is about 6361.1319747353. The cubic root of 40464000 is about 343.3124902251.

The spelling of 40464000 in words is "forty million, four hundred sixty-four thousand".