40293792 has 288 divisors, whose sum is σ = 150958080. Its totient is φ = 9884160.

The previous prime is 40293697. The next prime is 40293809. The reversal of 40293792 is 29739204.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 510009 + ... + 510087.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 2^40293792 is an apocalyptic number.

40293792 is a gapful number since it is divisible by the number (42) 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 40293792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

40293792 is an abundant number, since it is smaller than the sum of its proper divisors (110664288).

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

40293792 is a wasteful number, since it uses less digits than its factorization.

40293792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 40293792 is about 6347.7391250744. The cubic root of 40293792 is about 342.8304431589.

The spelling of 40293792 in words is "forty million, two hundred ninety-three thousand, seven hundred ninety-two".