40829292 has 96 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 11434176.

The previous prime is 40829287. The next prime is 40829297. The reversal of 40829292 is 29292804.

It is an interprime number because it is at equal distance from previous prime (40829287) and next prime (40829297).

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

It is not an unprimeable number, because it can be changed into a prime (40829297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39559 + ... + 40577.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^40829292 is an apocalyptic number.

40829292 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 40829292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

40829292 is an abundant number, since it is smaller than the sum of its proper divisors (82549908).

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

40829292 is a wasteful number, since it uses less digits than its factorization.

40829292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 40829292 is about 6389.7802779125. The cubic root of 40829292 is about 344.3424906098.

The spelling of 40829292 in words is "forty million, eight hundred twenty-nine thousand, two hundred ninety-two".