40292352 has 78 divisors (see below), whose sum is σ = 116492402. Its totient is φ = 13418496.

The previous prime is 40292327. The next prime is 40292353. The reversal of 40292352 is 25329204.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 147456 = 6336^2 + 384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40292353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36318 + ... + 37410.

Almost surely, 2^40292352 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 40292352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58246201).

40292352 is an abundant number, since it is smaller than the sum of its proper divisors (76200050).

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

40292352 is a wasteful number, since it uses less digits than its factorization.

40292352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40292352 is about 6347.6256978496. The cubic root of 40292352 is about 342.8263591409.

The spelling of 40292352 in words is "forty million, two hundred ninety-two thousand, three hundred fifty-two".