40466448 has 120 divisors (see below), whose sum is σ = 125929440. Its totient is φ = 12026880.

The previous prime is 40466423. The next prime is 40466473. The reversal of 40466448 is 84466404.

40466448 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 644 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (40466423) and next prime (40466473).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93240 + ... + 93672.

It is an arithmetic number, because the mean of its divisors is an integer number (1049412).

Almost surely, 2^40466448 is an apocalyptic number.

40466448 is a gapful number since it is divisible by the number (48) 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 40466448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62964720).

40466448 is an abundant number, since it is smaller than the sum of its proper divisors (85462992).

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

40466448 is a wasteful number, since it uses less digits than its factorization.

40466448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 40466448 is about 6361.3243904080. The cubic root of 40466448 is about 343.3194133505.

The spelling of 40466448 in words is "forty million, four hundred sixty-six thousand, four hundred forty-eight".