40329408 has 112 divisors (see below), whose sum is σ = 125398784. Its totient is φ = 11197440.

The previous prime is 40329403. The next prime is 40329409. The reversal of 40329408 is 80492304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×40329408² = 3252922299260928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40329403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49323 + ... + 50133.

It is an arithmetic number, because the mean of its divisors is an integer number (1119632).

Almost surely, 2^40329408 is an apocalyptic number.

40329408 is a gapful number since it is divisible by the number (48) 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 40329408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62699392).

40329408 is an abundant number, since it is smaller than the sum of its proper divisors (85069376).

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

40329408 is a wasteful number, since it uses less digits than its factorization.

40329408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 40329408 is about 6350.5439137132. The cubic root of 40329408 is about 342.9314235883.

It can be divided in two parts, 4032 and 9408, that multiplied together give a cube (37933056 = 336³).

The spelling of 40329408 in words is "forty million, three hundred twenty-nine thousand, four hundred eight".