40473360 has 120 divisors (see below), whose sum is σ = 138116160. Its totient is φ = 10619136.

The previous prime is 40473343. The next prime is 40473361. The reversal of 40473360 is 6337404.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (40473361) 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, 47821 + ... + 48659.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 2^40473360 is an apocalyptic number.

40473360 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 40473360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

40473360 is an abundant number, since it is smaller than the sum of its proper divisors (97642800).

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

40473360 is a wasteful number, since it uses less digits than its factorization.

40473360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 40473360 is about 6361.8676503052. The cubic root of 40473360 is about 343.3389594914.

The spelling of 40473360 in words is "forty million, four hundred seventy-three thousand, three hundred sixty".