40292820 has 36 divisors (see below), whose sum is σ = 122222100. Its totient is φ = 10744704.

The previous prime is 40292807. The next prime is 40292821. The reversal of 40292820 is 2829204.

40292820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6140484 + 34152336 = 2478^2 + 5844^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40292820² = 3247022687104800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40292821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111745 + ... + 112104.

Almost surely, 2^40292820 is an apocalyptic number.

It is an amenable number.

40292820 is an abundant number, since it is smaller than the sum of its proper divisors (81929280).

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

40292820 is a wasteful number, since it uses less digits than its factorization.

40292820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223864 (or 223859 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40292820 is about 6347.6625619199. The cubic root of 40292820 is about 342.8276864574.

The spelling of 40292820 in words is "forty million, two hundred ninety-two thousand, eight hundred twenty".