40284468 has 108 divisors (see below), whose sum is σ = 121562532. Its totient is φ = 11208960.

The previous prime is 40284463. The next prime is 40284479. The reversal of 40284468 is 86448204.

It can be written as a sum of positive squares in 2 ways, for example, as 2683044 + 37601424 = 1638^2 + 6132^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40284463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72046 + ... + 72602.

It is an arithmetic number, because the mean of its divisors is an integer number (1125579).

Almost surely, 2^40284468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40284468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60781266).

40284468 is an abundant number, since it is smaller than the sum of its proper divisors (81278064).

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

40284468 is a wasteful number, since it uses less digits than its factorization.

40284468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 40284468 is about 6347.0046478634. The cubic root of 40284468 is about 342.8039974172.

The spelling of 40284468 in words is "forty million, two hundred eighty-four thousand, four hundred sixty-eight".