40829400 has 96 divisors (see below), whose sum is σ = 140653200. Its totient is φ = 10886400.

The previous prime is 40829377. The next prime is 40829401. The reversal of 40829400 is 492804.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40829401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1620 + ... + 9180.

Almost surely, 2^40829400 is an apocalyptic number.

40829400 is a gapful number since it is divisible by the number (40) 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 40829400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70326600).

40829400 is an abundant number, since it is smaller than the sum of its proper divisors (99823800).

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

40829400 is a wasteful number, since it uses less digits than its factorization.

40829400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 7571 counting only the distinct ones).

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

The square root of 40829400 is about 6389.7887289018. The cubic root of 40829400 is about 344.3427942232.

The spelling of 40829400 in words is "forty million, eight hundred twenty-nine thousand, four hundred".